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Spectra of M-bicone complement product of graphs

Spectra of M-bicone complement product of graphs In this paper, we introduce a graph product, namely, M-bicone complement product and determine the generalized characteristic polynomial of the graphs obtained from this product. Consequently, we obtain the characteristic polynomial of the adjacency martix, the Laplacian matrix and the signless Laplacian matrix of these graphs. Also, from these results, we deduce the L-spectra of some significant families of M-bicone complement product of graphs. As an application, we construct infinite pairs of L-cospectral graphs. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

Spectra of M-bicone complement product of graphs

The Journal of Analysis , Volume OnlineFirst – Sep 5, 2022

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Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to The Forum D’Analystes 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-022-00492-0
Publisher site
See Article on Publisher Site

Abstract

In this paper, we introduce a graph product, namely, M-bicone complement product and determine the generalized characteristic polynomial of the graphs obtained from this product. Consequently, we obtain the characteristic polynomial of the adjacency martix, the Laplacian matrix and the signless Laplacian matrix of these graphs. Also, from these results, we deduce the L-spectra of some significant families of M-bicone complement product of graphs. As an application, we construct infinite pairs of L-cospectral graphs.

Journal

The Journal of AnalysisSpringer Journals

Published: Sep 5, 2022

Keywords: Graph products; Adjacency spectrum; Laplacian spectrum; Signless Laplacian spectrum; Cospectral graphs; 05C50; 05C76

References