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Core maintenance for hypergraph streams

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Abstract

This paper studies batch processing of core maintenance in hypergraph streams. We focus on updating the coreness of each vertex after the hypergraph evolves. Unlike existing works that mainly focus on exact coreness updates for the single hyperedge dynamic or approximate update, we propose the first known batch processing algorithms for exact core maintenance with insertions or deletions of multiple hyperedges. By proposing a hyperedge structure Joint Hyperedge Set, we tackle the challenges of quantifying the range of coreness change and finding potential vertices whose coreness may update. In addition, we accelerate coreness updates even further by finding structures that enable parallel execution. Extensive experiments illustrate the efficiency, scalability, and effectiveness of our batch core maintenance algorithms on real-world hypergraphs. It shows that our algorithms can be faster than the single hyperedge processing approaches by a factor of nearly half the number of hyperedges processed, and our parallel algorithms achieve linear acceleration with the increasing number of threads.

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Availability of data and materials

All the datasets can be accessed from http://www.cs.cornell.edu/~arb/data/

Notes

  1. http://www.cs.cornell.edu/~arb/data/.

  2. All the datasets can be downloaded in ARB [46].

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Funding

National Key Research and Development Program of China under Grant 2020YFB1005900, National Natural Science Foundation of China (NSFC) under Grant 62122042, Shandong University multidisciplinary research and innovation team of young scholars under Grant 2020QNQT017

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Authors and Affiliations

  1. School of Computer Science and Technology, Shandong University, 72 Binhai, Qingdao, Shandong, 266200, People’s Republic of China

    Qi Luo, Dongxiao Yu, Yanwei Zheng & Xiuzhen Cheng

  2. Department of Computer Science, Georgia State University, 25 Park Place, Atlanta, Georgia, GA 30303, USA

    Zhipeng Cai

  3. Antai College of Economics and Management, Shanghai Jiao Tong University, 535 Fahuazhen, Shanghai, 200052, People’s Republic of China

    Xuemin Lin

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  1. Qi Luo
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  4. Yanwei Zheng
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Contributions

Qi Luo and Dongxiao Yu wrote the manuscript, Yanwei Zheng collected the data, and Xiuzhen Cheng and Xuemin Lin analyzed the results. All authors reviewed the results and approved the final version of the manuscript

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Correspondence to Dongxiao Yu.

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Luo, Q., Yu, D., Cai, Z. et al. Core maintenance for hypergraph streams. World Wide Web 26, 3709–3733 (2023). https://doi.org/10.1007/s11280-023-01196-6

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