ITERATED LINE GRAPHS WITH ONLY NEGATIVE EIGENVALUES ?2, THEIR COMPLEMENTS AND ENERGY

Title

ITERATED LINE GRAPHS WITH ONLY NEGATIVE EIGENVALUES ?2, THEIR COMPLEMENTS AND ENERGY

Creator

Ramane, H.S.; Parvathalu, B.; Ashoka, K.; Patil, D.

Description

In this article, several iterated line graphs Lk (G) with all equal negative eigenvalues ?2 are characterized for k ? 1 and their energy consequences are presented. Also the spectra and the energy of complement of these graphs are obtained, interestingly they have exactly two positive eigenvalues with different multiplicities. Moreover, we characterize a large class of equienergetic graphs which extend some of the existing results. Palestine Polytechnic University-PPU 2025.

Source

Palestine Journal of Mathematics;Volume;14;Issue;3;pp.926-939

Date

01-01-2025

Publisher

Palestine Polytechnic University

Subject

Complement of a graph; Eigenvalues of graphs; Energy of a graph; Equitable partition; Iterated line graphs

Coverage

Ramane H.S., Department of Mathematics, Karnatak University, Karnataka, Dharwad, 580003, India; Parvathalu B., Department of Mathematics, Karnatak Universitys Karnatak Arts/Science College, Karnataka, Dharwad, 580001, India; Ashoka K., Department of Mathematics, Christ University, Karnataka, Bangalore, 560029, India; Patil D., Department of Mathematics, SSPO GFGC, Karnataka, Muddebihal, 586212, India

Rights

Restricted Access; Hardcopy may be available in the library

Relation

ISSN: 22195688;

Format

online

Language

English

Type

Article

Identifier

https://www.scopus.com/pages/publications/105022652561?origin=resultslist