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 |
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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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