Upper bounds for the extended energy of graphs and some extended equienergetic graphs

Adiga, Chandrashekar and Rakshith, B. R. (2018) Upper bounds for the extended energy of graphs and some extended equienergetic graphs. Opuscula Mathmetica, 38 (1). pp. 5-13.

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Abstract

In this paper, we give two upper bounds for the extended energy of a graph one in terms of ordinary energy, maximum degree and minimum degree of a graph, and another bound in terms of forgotten index, inverse degree sum, order of a graph and minimum degree of a graph which improves an upper bound of Das et al. from On spectral radius and energy of extended adjacency matrix of graphs, Appl. Math. Comput. 296 (2017), 116-123. We present a pair of extended equienergetic graphs on (n) vertices for (nequiv 0(text{mod8) starting with a pair of extended equienergetic non regular graphs on (8) vertices and also we construct a pair of extended equienergetic graphs on (n) vertices for all (ngeq 9) starting with a pair of equienergetic regular graphs on (9) vertices.

Item Type:	Article
Uncontrolled Keywords:	energy of a graph, extended energy of a graph, extended equienergetic graphs
Subjects:	E Mathematical Science > Mathematics
Divisions:	Department of > Mathematics
Depositing User:	Manjula P Library Assistant
Date Deposited:	06 Nov 2019 07:45
Last Modified:	08 Jul 2022 09:52
URI:	http://eprints.uni-mysore.ac.in/id/eprint/9843

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