Variations in power of opinion leaders in online communication networks

Online social media has completely transformed how we communicate with each other. While online discussion platforms are available in the form of applications and websites, an emergent outcome of this transformation is the phenomenon of ‘opinion leaders’. A number of previous studies have been presented to identify opinion leaders in online discussion networks. In particular, Feng (2016 Comput. Hum. Behav. 54, 43–53. (doi:10.1016/j.chb.2015.07.052)) has identified five different types of central users besides outlining their communication patterns in an online communication network. However, the presented work focuses on a limited time span. The question remains as to whether similar communication patterns exist that will stand the test of time over longer periods. Here, we present a critical analysis of the Feng framework both for short-term as well as for longer periods. Additionally, for validation, we take another case study presented by Udanor et al. (2016 Program 50, 481–507. (doi:10.1108/PROG-02-2016-0011)) to further understand these dynamics. Results indicate that not all Feng-based central users may be identifiable in the longer term. Conversation starter and influencers were noted as opinion leaders in the network. These users play an important role as information sources in long-term discussions. Whereas network builder and active engager help in connecting otherwise sparse communities. Furthermore, we discuss the changing positions of opinion leaders and their power to keep isolates interested in an online discussion network.

communication over time. In this context, this study critically analyses the previous approach proposed by Feng [30]. We explore communication patterns among participants of an online communication network in short-term and long-term manner. We use two case studies, 'PanamaLeaks' and 'NigeriaDecides'. We use short-term analysis to validate our work by using previously published dataset used in [32] as previous work by Feng also used tweets of a limited time span. However, opinion in a society varies with the time. Therefore, we explore the patterns between central users of an online communication network in a long-term manner by using 'PanamaLeaks' as a case study. Furthermore, we are interested in the roles and positions of the central users in an online discussion network over the time. We have also addressed the impact of these central users on the isolates participating in the online discussion. Researchers have claimed that the Internet enables individuals to influence others by using their social network connections and by replicating their offline asymmetric power of influence into the online social networking platforms [33,34]. In this context, this study also explores the flow of information in the online discussion network of #PanamaLeaks in order to understand how very few people have prevailed in the online discussion. Bringing together these concerns our research objective is as follows: RO: Analysing the interaction patterns of central users to evaluate the influence in long-term online social media networks.  . Connection Pattern for 'Active Engager' in an online discussion network. Circles are presenting users in the network. A circle in the middle filled with black colour is 'Active Engager'. Many arrows pointing towards users from 'Active Engager' presents that 'Active Engager' mentions/retweets many other users' tweets in the online discussion network.

Information bridge user
An information bridge is a user in online discussion network with a few 'in-degree' and 'out-degree' links. Information bridge role is to assist influencer and active engager in the network to connect with other users [30]. Note that in both case studies, #PanamaLeaks and #NigeriaDecides which we took for validation, we are unable to identify such user in the online discussion networks (see §5). Figure 5 shows the connection pattern for information bridge user identified by Feng in the online discussion network.

Tools used
We chose NodeXL and Gephi as tools to analyse #PanamaLeaks network. NodeXL is an extensible toolkit to download and analyse network data [35]. NodeXL is capable of calculating network matrices like 'indegree', 'out-degree', 'betweenness', 'density', 'modularity', etc., NodeXL generates Excel-based reports, and it is also capable of downloading and analysing data from several social network platforms like Twitter, Flickr and Facebook. In a Twitter user network, a Twitter user is presented as a vertex in network generated by NodeXL and edge represents the relationship between two users. The relationship between two vertices can be direct or undirected. In a Twitter user network, 'in-degree' of each vertex is how many users in the online discussion network have mentioned or retweeted his/her tweets and 'out-degree' of a vertex is how many times he/she has mentioned/retweeted other participants in his/her tweets. NodeXL adds an edge when one user tweets, retweets or mentions other user/users in his/her tweet. Edges coming towards one user are 'in-degree' of that specific user and edges going from that user to others in the network are 'out-degree' of that specific user. If a user creates new tweet/tweets without mentioning, replying or retweeting another user's tweet, NodeXL adds self-loop around that user in the network.
Along with finding the most central users of #PanamaLeaks network, we aim to visualize #PanamaLeaks network dynamically to find structural changes in the network. We chose Gephi, a  A circle in the middle filled with black colour is 'Information Bridge'. Arrow pointing towards 'Influencer' in the network is presenting that 'Information Bridge' has mentioned/retweeted 'Influencer' tweet and arrow from 'Active Engager' towards 'Information Bridge' is presenting that same tweet is retweeted by the 'Active Engager'. rsos.royalsocietypublishing.org R. Soc. open sci. 5: 180642 social network analysis tool [36], for network visualization, due to its capability for visualizing large, complex and dynamic networks. Gephi is capable of visualizing network with many different algorithms like the Force-Atlas, Fruchterman -Reingold, Yifan Hu, etc. [37].

Dataset
We used NodeXL Twitter Search Network data collector to collect tweets from March 2017 to August 2017. We chose #PanamaLeaks as a keyword to download tweets. Our dataset contains 10 612 nodes and 24 623 unique edges. Although we used Twitter Slandered Search API using NodeXL to download tweets, this Twitter API has some limitations, like 18 000 tweets per day and no assurance of getting complete data regarding that particular hashtag.
For further analysis and validation, we used #NigeriaDecides case study dataset [32]. The author used #NigeriaDecides as a query to download tweets and then generate a network of tweets, mentions and replies, which is same as #PanamaLeaks case study network. #NigeriaDecides case study dataset consists of 1752 nodes and 6343 edges from 15 April 2015 to 20 April 2015.

Methods
We combine all the data (tweets downloaded using NodeXL during six months) and then divide it into six months of different networks according to the dates of tweets from March 2017 to August 2017. We requested NodeXL to generate the following matrices: 'in-degree', 'out-degree', 'betweenness centrality', 'density', 'clustering coefficient' and 'modularity' for each month independently. 'In-degree' is a simple count of unique incoming connections/links towards a user/entity in a directed graph. Whereas 'out-degree' is a simple count of unique links/connections from a user. 'Betweenness centrality' of the node (a unique user in a network) is how many times a node appears in the shortest path between other nodes (other users in the same network) [38].
'In-degree', 'out-degree' and 'betweenness centrality' are the three measures used by Feng [30] for identification of most central users in an online discussion network. This is the first reason we also used these three measures on the #PanamaLeaks case study. Furthermore, degree centrality is the only measure through which we can find the number of participants replying, mentioning and retweeting tweets of other participants in the online discussion network. This indicates the influence of a participant in the online social network [18]. Some researchers have also used 'in-degree' to identify hubs in the online discussion network [39]. Empirical results show that degree centrality is the most effective indicator of the structural importance of a participant in the social network [40]. Moreover, the node with the high 'betweenness centrality' has the high power of diffusion in the network [41]. Participants with high 'betweenness centrality' in the social network can influence the flow of information and they have the ability to connect otherwise sparse communities [42]. It is also an effective indicator of a user lead role in the online social network [43] and shows the access of a participant to the novel information in the network [44]. Empirical results show that not only in social networks but also in a biological network important proteins have high 'betweenness centrality' [45]. In this work, our focus is the core of resources where the conversation in online communication takes place and the power to influence the flow of information in the online discussions. It seems like in both the above cases 'betweenness centrality' is an effective measure to use [46,47].
We identified top 10 central users based on 'betweenness centrality' for each month in the #PanamaLeaks network. We adopted the same methods in the #NigeriaDecides case study used in [32] for validation purpose. For visualization of connection patterns for most central users in #PanamaLeaks network, we use Yifan Hu algorithm for both case studies. Note: we avoid using full user names due to privacy concerns. Figure 7 shows the connection pattern for a conversation starter for #PanamaLeaks and #NigeriaDecides. We used social network analysis measures like 'density', 'clustering coefficient', and 'modularity' to analyse overall communication patterns among the participants of the #PanamaLeaks network. To check the impact of conversation starter and influencer on the online discussion network, we use number of unique users coming into #PanamaLeaks network every month.
For visualization of overall communication pattern among #PanamaLeaks network participants, we created a dynamic network of #PanamaLeaks using Gephi. We implemented month-wise timestamp on rsos.royalsocietypublishing.org R. Soc. open sci. 5: 180642 the network based on tweet date. We used Yifan Hu algorithm, one of the many available algorithms for network visualization in Gephi. Figure 15a-f is showing communication patterns between all users of #PanamaLeaks network for March, April, May, June, July and August, respectively. Figure 16 shows an overall visualization of the complete six months network from March 2017 to August 2017 using Yifan Hu algorithm. Our overall research methodology is shown in figure 6.

Results
In this section, we present series of experiments carried out in this study. We used social network analysis to address our research objective: RO: Analysing the interaction patterns of central users to evaluate the influence in long-term online social media networks.

Conversation starter user
According to the two-step flow theory, information flows from mass media to opinion leaders and is then transmitted to the population via opinion leaders [23]. In the light of the above, we selected 'siasatpk' as our conversation starter as it is a mass media platform. As per the result of NodeXL, conversation starter topped the list of the most central users based on 'betweenness centrality'. According to results of March, April, May, June and July 'in-degree' of 'siasatpk' is 211, 137, 203, 446 and 1463, respectively. Whereas, 'out-degree' of 'siasatpk' for March, April, May, June and July is 1, 3, 2, 7 and 22, respectively. 'siasatpk' who is playing the role as conversation starters in #PanamaLeaks network remains the first or second most influential participant of the network from March to July. The 'in-degree' of 'siasatpk' is zero in the month of August because 'siasatpk' stopped participating in discussion from August (table 1).  Figure 6. Research method. Our work starts with data collection step. The collected data were organized by performing the preprocessing technique. Networks were generated from well-organized data. Then, we applied the Yifan Hu algorithm on the network for visualization purpose. The next step was performing social network analysis and getting results. For further analysis as well as validation, the same approach was applied on another case study of #NigeriaDecides and then we have evaluated most central users in the network. rsos.royalsocietypublishing.org R. Soc. open sci. 5: 180642 'saharareporters' with (in-degree = 345, out-degree = 13 and betweenness-centrality = 616332.423) is playing the role of conversation starter in the #NigeriaDecides case study, which we used for validation. Figure 7a-e shows the connection pattern of conversation starter for the months of March, April, May, June and July, respectively, of #PanamaLeaks network. Figure 7f shows the connection pattern of conversation starter of #NigeriaDecides network. Results of both case studies reveal the similar connection pattern for conversation starter. Mostly isolates are pointing towards the conversation starter (mentioning or retweeting tweets of conversation starter) in case study of #PanamaLeaks as well as #NigeriaDecides case study. In this context, conversation starter is acting as a hub in the online discussion networks.
The overall results of the top three influencers of every month are presented in table 2. Figure 8a shows the connection pattern of 'qais*********' , who is playing a role as an influencer in the month of March. Figure 8b shows connection pattern 'ptiofficial', acting as the top influencer in the month of March. Many arrows pointing towards this node can be seen in figure 8b and most of these nodes are small presenting that mostly isolates like to mention or retweet influencer in the network. 'khaleejmag' is the top influencer of May network. Connection pattern of 'khaleejmag' is shown in figure 8c. June result shows, that conversation starter and active engager of June both mentioned top influencer of that month. However, most nodes pointing towards the 'imra********', the top influencer of June network are small, which means they are also isolates having low connectivity in the network. Figure 8d-f is showing the connection patterns of top influencer of June, July and August, respectively. All of the above Table 1. Presenting 'in-degree', 'out-degree', 'betweenness centrality' and 'rank' of 'siasatpk' playing role as 'Conversation Starter' in the #PanamaLeaks network. The number '1' in rank column presents that 'Conversation Starter' is the most central user in #PanamaLeaks network based on 'betweenness centrality'. figures are showing the same pattern, which shows connection pattern of influencer in the network remain similar over time.
In #NigeriaDecides network, "thisisbuhari", "mbuhari", "inecnigeria" are the top three influencers ranked by "betweenness centrality" playing the role as an influencer with (in-degree ¼ 262; betweenness-centrality ¼ 142580:817). Figure 9 shows the connection pattern of the top influencer "thisisbuhari" of #NigeriaDecides. The results of the both case studies #PanamaLeaks and #NigeriaDecides reveals the same connection pattern for the influencers in the online communication network.

Active engager user
The result shows that in the network of March, the second most central user with (in-degree ¼ 0, outdegree ¼ 65) is 'suga*****' an active engager. In network of April, 'suga*****' again acts as an active engager with (in-degree ¼ 0, out-degree ¼ 41) and became fifth most central user in the network. Seventh most central user 'umj****' is the active engager in network of May with (in-degree ¼ 0, out-degree ¼ 56) and in June it's once again 'suga*****' with (in-degree ¼ 0, out-degree ¼ 96). In the network of July and August 'lavajatonews' with (in- , respectively, is playing the role as active engager. 'lavajatonews' is third most central user of July network and seventh most central user of August network playing role as active engager (table 3). Figure 10 is showing connection pattern for active engagers from March to August of #PanamaLeaks network. In March, 'suga*****' is playing the role of active engager by retweeting/mentioning other participants of the network. 'suga*****' mentioned participant having high degree like 'qais*********', 'alir*********' and 'siasatpk'; connection pattern of March active engager can be seen in figure 10a. 'suga*****' is again playing the role of active engager in April; figure 10b shows the connection pattern of 'suga*****'. Mentioning 'qais*********', 'mary********' and 'imra********', three influencers in April network, is the reason for his central position in the network. 'umj****' plays the role as an active engager in May network. Figure 10c shows the connection pattern of 'umj****'. By mentioning conversation starter, two influencers and other participants in June, 'suga*****' again is the active engager, as shown in figure 10d. Figure 10e,f shows the connection pattern for active engager of July and August month, respectively. Interestingly, 'in-degree' of all the above active engagers remain zero over the time.
These results demonstrate that no other participants in the discussion have retweeted/mentioned active engager in their tweet from the start of the online discussion till the end. 'waki**********' is playing role as an active engager in the network of #NigeriaDecides with (indegree ¼ 1 and out-degree ¼ 26). He is the seventh most central user of the network. 'Betweenness centrality' of 'waki**********' is 112865.285. By mentioning/retweeting the influencers as well as the conversation starter in his tweets, he got this high 'betweenness centrality'. Figure 11 shows the connection pattern of 'waki**********', results are consistent with the #PanamaLeaks case study.

Network builder user
'shah******' with only (in-degree ¼ 0, out-degree ¼ 2) is interestingly sixth most central user of the March network playing a role as network builder. With only (in-degree ¼ 0, out-degree ¼ 7) 'ambitiousfree' is the sixth most central user of April network because he mentioned two influencers 'mary********' and (e) ( f ) Figure 8. 'amra*******' in his tweets and built a strategic location in the network like 'shah******' in the network of March. 'ali*******' with (in-degree ¼ 20, out-degree ¼ 8) and 'dezi*********' with (in-degree ¼ 0, outdegree ¼ 18) are the network builders for month of May and June respectively. In July we could find '_waq*****' as network builder on the thirteenth position with (in-degree ¼ 5, out-degree ¼ 21). In August with (in-degree ¼ 0, out-degree ¼ 3) 'foro*******' is the network builder. He is the fourth most central user in the network. No influencer in the network of all months has mentioned network builders in his/her tweet. However, by connecting two or more influential participants, network builders got central positions in the network. The overall results of the top network builder in the networks is shown in table 4. A node in the middle of figure 12a 'shah******' is network builder of March. With only two 'out-degree' links, he is the sixth most central user in the network. 'shah******' built a strategic location in the network by mentioning/retweeting only two participants having high 'betweenness centrality'. Figure 12b-f shows the connection pattern for network builder of April, May, June, July and August, respectively. All the above-mentioned figures show a similar pattern of communication. All network builders have few 'in-degree' and 'out-degree' links; however, they build a strategic location in the #PanamaLeaks network by mentioning influencers or conversation starter.

Information bridge user
The results reveal that there is no such user like the information bridge in #PanamaLeaks six months network. Information bridge is the user who mentions/retweets influencer tweet and that same tweet is then retweeted by active engager according to the study presented by Feng [30]. We could not identify any user with few 'in-degree' and 'out-degree' links, who has retweeted influencer tweet and then that same tweet is retweeted by active engager. We applied this approach to #NigeriaDecides case study [32] for validation purpose and according to the results; there exists no user like information bridge. Although, we were able to find conversation starter, influencer, active engager and network builder in #NigeriaDecides case study also. Figure 14a shows the number of unique users participating in #PanamaLeaks online discussion every month. According to results, number of unique users participating in #PanamaLeaks discussion was 1277 in March. In April and May 1412 and 1750 unique users started participation in the online discussion, respectively. 1487 unique users joined the discussion in June and 3626 joined the discussion in July. However, there is a sudden decrease in a number of unique users participating in #PanamaLeaks discussion in August with 880 new unique users coming into the network. In September, there is a negligible number of users discussing the issue of Panama Leaks on Twitter. That is the reason we only analysed #PanamaLeaks network until August. Figure 14b shows the density of #PanamaLeaks network over six months. A gradual decrease in the density of the network can be seen. However, there is a sudden increase in density after July.  Figure 15 shows interaction patterns of users participating in the #PanamaLeaks discussion. Many isolates are pointing towards the influencers and conversation starter in the network. Figure 15a shows the network of March and communities forming around conversation starter and influencers can be seen in the figure. These communities keep on growing until July, which can be seen in figure 15b -f. However, in August when major influencers and conversation starter left the discussion, communities started to dissolve which can be seen in figure 15f. A combined visualization of #PanamaLeaks network from March to August is shown in figure 16. A circle of participants around the edge of the graph can be seen. These participants are not connected to any influencer or conversation starter in the #PanamaLeaks network.

Discussion
In this study, we critically analyse the framework presented by Feng based on two-step flow theory of Kartz [30]. The results of this study reveal that there may not exist all of the central users identified by Feng in an online communication network. We have presented a detailed discussion about these central users in the following subsections. Additionally, we have also evaluated the roles of these central users in online discussion network. Moreover, this study illustrates how very few high-profile people are influencing the discussion in the online communication networks.

Conversation starter user
A conversation starter is one who is centre of the network and connects many 'isolates' who otherwise have few or no links in the network [30]. Results of this study reveal the same tendency, as many Table 3. Presenting 'in-degree', 'out-degree', 'betweenness centrality' and 'betweenness-wise rank' of the top 'Active Engager' of each month in the #PanamaLeaks network. 13 'isolates' retweeted or mentioned 'siasatpk' in their tweets over the time. Some participants in the discussion with a high degree also mentioned conversation starter in their tweets but they are very few; mostly 'isolates' tend to connect with conversation starter to gain information. Since users with high connectivity are better at influencing information flow in the Twitter network [48]. This makes the conversation starter centre of the network by various incoming connections. However, the impact of the conversation starter on the online discussion can be evaluated by the number of users participating in online discussion. When conversation starter stopped participating in the trend (stopped tweeting about the topic), 'isolates' also lost interest in the online conversation. As results reveal that in August when conversation starter stopped participating in the online discussion, there is a sudden decrease in the (e) ( f ) Figure 10.

Influencer user
Influencer is a user in an online discussion network [30] with plentiful 'in-degree' and few 'out-degree' links. They are called opinion leaders in the network and isolates like to mention them in their tweets.
Isolates also like to retweet opinion leader's tweet and these opinion leaders are usually mass media organizations or celebrities in different fields of life [30]. Opinion leaders create frequent content to influence the opinion of other participants in the online discussion. Information is going from opinion leaders to users with less connectivity and this supports the argument by Dahlberg [33] and Murdock & Golding [34] that opinion leaders by using their network connectivity replicate asymmetric offline power in the online discussion. The participant like influencer who has high degree act as a hub in the Figure 11. Connection pattern for 'Active Engager' of #NigeriaDecides network. The node in the middle of figure is 'Active Engager'. The size of a node indicates its degree centrality. The colour of a node changes from blue towards white with an increase in degree centrality. network [49]. However, opinion leaders' influence is not consistent in the online communication network as the results show in #PanamaLeaks case study, the power of an influencer to influence other participants in the online communication network can increase/decrease over time. Figure 18 shows the changes in 'betweenness centrality' of five selected influencers in the #PanamaLeaks network over six months.

Active engager user
A user with many 'out-degree' and none or few 'in-degree' links is an active engager in the network [30]. Results reveal that there always exists an active engager in an online communication network over time. However, the position of active engager is not consistent and another active engager can take his/her place with the passage of time. Active engager is also among the top 10 most central users of the network. Results show that active engager is one who is active with the intention to get information during an Figure 12. online discussion. Active engager may not become an opinion leader as no participant in the online discussion has mentioned him in his/her tweet over six months period.

Network builder user
Network builder in a network has few or none 'in-degree' and few 'out-degree' links [30]. His primary role in the network is to associate two or more influential nodes in the network. By this, network builder builds a  strategic location in the online communication network and gets high centrality. However, in [30] 'wnkr' is a network builder and its in-degree is '0'. Which means no participant in the discussion either has mentioned or retweeted 'wnkr' in their tweets. In #PanamaLeaks network, network builders follow the same tendency. In this context, we can conclude that network builder does help in creating a connection between two or more influencers in the online discussion network. However, influencers usually do not mention or reply to their tweets. Therefore, their impact on the opinion formation in an online discussion network is petite.

Information bridge user
Information bridge is a user with few 'in-degree' and 'out-degree' links, who connects an influencer and active engager as noted in [30]. However, results of the longitudinal network of this study show that there is no such user like information bridge existing in the online discussion network. Furthermore, for validation of our results we used another published case study #NigeriaDecides [32]. The result shows that in the case study #NigeriaDecides, there does not exist any user like information bridge who has retweeted/mentioned influencer in his/her tweet and then that tweet is retweeted by active engager. Active engager's primary role in the network is to engage with other users [30], and for this purpose; active engager likes to retweet mostly influencer/conversation starter tweets. Active engagers do not usually retweet/mention 'isolates' in their tweets according to the six months network of #PanamaLeaks network. In this context, we can conclude that there is an insignificant chance that an active engager retweets the same tweet in which a person with few 'in-degree' and 'out-degree' has mentioned influencer.

Network structure
The results of this study show that unique users increase until June and then there is a sudden decrease in the number of unique users as shown in figure 14a. When conversation starter stopped participating in the online discussion there is a sudden decrease in the number of new participants. This shows the effect of conversation starter on the online discussion as users with high connectivity can influence the participation of users [50]. Most of the unique users in the online discussion connected with conversation starter and influencers are participants with low degree. In this context, opinion leaders have the power to keep isolates interested in the online discussion. Network density can decrease with the number of users increasing in the network and vice versa [21], the density of the network is showing the same tendency. The clustering coefficient of conversation starter and top influencer of March, April, May, June and July is 0.00, 0.002, 0.00, 0.001, 0.00 and 0.004, 0.00, 0.00, 0.005, 0.005, 0.002, respectively. Results show that conversation starter and top influencer of every month have mostly zero clustering coefficient over the time. Presenting that almost all the participants connected with conversation starter and influencers have no interest in sharing information with each other in the online discussion network. However, all the participants connected with these opinion leaders are there to get information as these highly connected participants in the online social network are a source of information. Reciprocated vertex pair ratio of conversation starter and influencers in the network remains zero over the time supporting our above argument that these opinion leaders are there to diffuse information to isolates without any intention of getting information from the less-connected participants participating.
Highly dense connections between the nodes of a community and sparse connection between different communities show high modularity in a social network [51]. Results show the same tendency, as there exist dense connections between the participants following the same opinion leader and sparse connections between the followers of different opinion leader in the online discussion network. Communities formed around the conversation starter and influencer are closely connected and these closely connected communities can help in fast information diffusion in the network [52], as strong modularity in a social network enhances information diffusion within a community and obstructs it in inter-community [53]. The role of conversation starter and influencer in an online discussion network can be seen by this argument as well. In the presence of both conversation starter and influencer, information diffusion within a community is strong due to high modularity. However, the links between the different communities are very few, showing weak ties between the communities of online discussion. Participants of the online discussion tend to cluster around the influential participants and with the passage of time in the presence of conversation starter and influencers, participants became less independent as modularity decreased [54].
The role of network builder and active engager in the overall structure of the online communication network is connecting two or more otherwise sparse communities. Even few weak ties in the online social network can help in diffusing information within the different communities [55]. Network builder and active engager are doing the same, connecting mostly the communities formed around conversation starter and one or more top influencers in the network. On all the above arguments, we can conclude that conversation starter and influencers are the information source in the network. Network builder and active engager are working as the bridge for diffusing this information between the different communities of society. However, the power to control and diffuse information did not remain the same over time as par result of the #PanamaLeaks network. Moreover, with many participants having low degree pointing towards the conversation starter and influencer, we can conclude that they play a role as a hub in the online discussion network. As far as the discussion regarding #PanamaLeaks online communication network, we can see how these participants are playing a central role. From the start of the case in Supreme Court of Pakistan until the final verdict, conversation starter and influencers are influencing the overall discussion about #PanamaLeaks by creating tweets and using their social network connectivity. Results show that they are successful in diffusing the information as well as getting the attention of participants during the whole discussion. Our findings also demonstrated that these participants are mostly isolates with the intention to gain information about the #PanamaLeaks discussion, resulting in creating communities around the conversation starter and influencers. We can also see the role of network builder and active engager in the #PanamaLeaks online discussion as they have acted as the bridge in connecting the communities formed around political leaders and media of Pakistan. However, in the online discussion about Panama Papers in Pakistan, we can see that highly influential participants are very few compare to isolates. In light of the above arguments, we can conclude that even in this era of digital communication where everyone is equipped with the power to express their opinions to others in online discussion platforms. Still very few individuals by replicating their offline asymmetric power in online platforms can influence opinions [33,34].

Conclusion
In this study, we investigated the variations in the power of opinion leaders in online communication networks. We critically analysed the framework presented by Feng in short-term and long-term manner. We adopted #PanamaLeaks as a case study. Our finding demonstrated that there might not exist all of the central users identified by Feng in an online communication network. We validated our results by another published case study of #NigeriaDecides. Furthermore, our study contributed by identifying the impact of these central users over the time. Our findings can help to predict the connection patterns and how an online communication network can transform in the future. Moreover, for initializing an online marketing campaign, targeting these central users can make a great impact on the information diffusion in the online social networking platforms.
Future studies based on this framework might include the content of the tweets to better understand the relationship between the participants of the online communication network. A signed graph can be constructed to analyse communities having positive and negative opinion about the trend. That can help to find the communication patterns among communities of the online communication network. Moreover, we suggest that future studies add more variables to this model as we have only focused on social network analysis measures based on centrality.