Extended energy of some standard graphs

D. Cokilavany 1 *

doi:10.26637/MJM0802/0032

Extended energy of some standard graphs

Authors :

D. Cokilavany ^{1 *}

Author Address :

¹Department of Mathematics, Anna University, Chennai-600025, Tamil Nadu, India.

*Corresponding author.

Abstract :

This paper finds the extended energy of some special class of graphs and their complement graphs. Let $G=(V,E)$ be a simple graph with vertex set $V(G)=\{v_1,v_2,...v_n\}$ and edge set $E(G)$.The Extended energy $E_{ext}(G)$ is defined to be the sum of the absolute eigen values of its extended adjacency matrix $A_{ext}(G)$.

Keywords :

Extended adjacency matrix, extended energy, spectral radius, spectrum of graphs.

DOI :

10.26637/MJM0802/0032

Article Info :

Received : February 02, 2020; Accepted : April 28, 2020.