A signed graph product and its Application

Fuente: arXiv
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Autores principales: Sonar, Bishal, Srivastava, Ravi
Formato: Preprint
Publicado: 2024
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author Sonar, Bishal
Srivastava, Ravi
author_facet Sonar, Bishal
Srivastava, Ravi
contents A signed graph product is defined for a new product, and initially the unsigned graph product's Laplacian spectrum and signless Laplacian spectrum are found. Next, for the signed graph product, the adjacency spectrum, Laplacian spectrum, and signless Laplacian spectrum are found. In the end, we determined the prerequisite for the signed graph product to be integral and we also have generated a sequence of co-spectral signed graphs and a sequence of non-co-spectral equienergetic signed graphs.
format Preprint
id arxiv_https___arxiv_org_abs_2403_11269
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A signed graph product and its Application
Sonar, Bishal
Srivastava, Ravi
Combinatorics
05C76, 05C50, 05C22
A signed graph product is defined for a new product, and initially the unsigned graph product's Laplacian spectrum and signless Laplacian spectrum are found. Next, for the signed graph product, the adjacency spectrum, Laplacian spectrum, and signless Laplacian spectrum are found. In the end, we determined the prerequisite for the signed graph product to be integral and we also have generated a sequence of co-spectral signed graphs and a sequence of non-co-spectral equienergetic signed graphs.
title A signed graph product and its Application
topic Combinatorics
05C76, 05C50, 05C22
url https://arxiv.org/abs/2403.11269