TY  - JOUR
ID  - Adiga2018
LB  - Adiga2018
AU  - Adiga, Chandrashekar
AU  - Rakshith, B. R.
TI  - Upper bounds for the extended energy of graphs and some extended equienergetic graphs
ST  - Upper bounds for the extended energy of graphs and some extended equienergetic graphs
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 1
SP  - 5
EP  - 13
DO  - https://doi.org/10.7494/OpMath.2018.38.1.5
UR  - https://doi.org/10.7494/OpMath.2018.38.1.5
AB  - 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.
KW  - energy of a graph
KW  - extended energy of a graph
KW  - extended equienergetic graphs
SN  - 1232-9274
ER  -