Transactions on Combinatorics (Mar 2022)

Certain classes of complementary equienergetic graphs

  • Harishchandra Ramane,
  • Daneshwari Patil,
  • Kartik Pise

DOI
https://doi.org/10.22108/toc.2021.127167.1816
Journal volume & issue
Vol. 11, no. 1
pp. 45 – 51

Abstract

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The energy of a graph is the sum of the absolute values of the eigenvalues of a graph‎. ‎Two graphs are said to be equienergetic if they have same energy‎. ‎A graph is said to be complementary equienergetic if it is equienergetic with its complement‎. ‎Recently several complementary equienergetic graphs have been identified‎. ‎In this paper‎, ‎we characterize the cycles‎, ‎paths‎, ‎complete bipartite regular graphs and iterated line graphs of regular graphs‎, ‎which are complementary equienergetic‎. .

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