The sum-eccentricity energy of a graph

Sowaity, Mohammad Issa and Sharada, B. (2017) The sum-eccentricity energy of a graph. International Journal on Recent and Innovation Trends in Computing and Communication, 5 (6). pp. 293-304. ISSN 2321-8169

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Abstract

In this paper, we introduce the concept of the sum-eccentricity matrix of a graph and obtain some coefficients of the characteristic polynomial of the sum-eccentricity matrix of . We also introduce the sum-eccentricity energy of a graph . Sum-eccentricity energies of some well-known graphs are obtained. Upper and lower bounds for are estblished. It is shown that if the sum-eccentricity energy of a graph is rational then it must be an even.

Item Type: Article
Uncontrolled Keywords: Distance in graphs, Sum-eccentricity matrix, Sumeccentricity eigenvalues, Sum-eccentricity energy of a graph
Subjects: E Mathematical Science > Mathematics
Divisions: Department of > Computer Science
Department of > Mathematics
Depositing User: C Swapna Library Assistant
Date Deposited: 01 Jul 2019 06:00
Last Modified: 01 Jul 2019 06:00
URI: http://eprints.uni-mysore.ac.in/id/eprint/4182

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