@Article{Adiga2018,
author = "Adiga, Chandrashekar and Rakshith, B. R.",
title = "Upper bounds for the extended energy of graphs and some extended equienergetic graphs",
journal = "Opuscula Math.",
year = "2018",
volume = "38",
number = "1",
pages = "5--13",
doi = "https://doi.org/10.7494/OpMath.2018.38.1.5",
url = "https://doi.org/10.7494/OpMath.2018.38.1.5",
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 \(n\equiv 0(\text{mod } 8)\) 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 \(n\geq 9\) starting with a pair of equienergetic regular graphs on \(9\) vertices.",
keywords = "energy of a graph, extended energy of a graph, extended equienergetic graphs",
issn = "1232-9274"
}