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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

Pavithra, R.; Rajkumar, R.
The Journal of Analysis , Volume OnlineFirst – Sep 5, 2022
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29 pages

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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
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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 Analysis – Springer Journals

Published: Sep 5, 2022

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

References

  • Spectra of graphs obtained by a generalization of the join graph operation
    Cardoso, DM; de Freitas, MA; Martins, EA; Robbiano, M
  • The characteristic polynomial of generalized join of graphs
    Chen, Y; Chen, H
  • The spectrum and the signless Laplacian spectrum of coronae
    Cui, SY; Tian, GX
  • Adjacency and Laplacian spectra of variants of neighbourhood corona of graphs constrained by vertex subsets
    Gayathri, M; Rajkumar, R
  • Spectra of partitioned matrices and the M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\cal{M}}$$\end{document}-join of graphs
    Gayathri, M; Rajkumar, R
  • Study on adjacency spectrum of two kinds of joins of graphs
    Hou, Y; Dai, M; Dai, C; Ju, T; Sun, Y; Su, W
  • Spectra of the generalized edge corona of graphs
    Luo, Y; Yan, W
  • Spectra of some new extended corona
    Maliheh, T; Tahereh, S
  • Spectra of coronae
    McLeman, C; McNicholas, E
  • The spectra of a new join of graphs
    Paul, S
  • On the characteristic polynomial of the subdivision-vertex join of graphs
    Pavithra, R; Rajkumar, R; Balasubramaniam, P; Ratnavelu, K; Rajchakit, G; Nagamani, G
  • Spectra of bowtie product of graphs
    Pavithra, R; Rajkumar, R
  • Spectra of M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M$$\end{document}-edge rooted product of graphs
    Pavithra, R; Rajkumar, R
  • Spectra of generalized corona of graphs constrained by vertex subsets
    Rajkumar, R; Gayathri, M
  • Spectra of (H1,H2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(H_1, H_2)$$\end{document}-merged subdivision graph of a graph
    Rajkumar, R; Gayathri, M
  • Spectra of M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M$$\end{document}-rooted product of graphs
    Rajkumar, R; Pavithra, R
  • On the Laplacian spectra of some double join operations of Graphs
    Tian, GX; He, JX; Cui, SY
  • Which graphs are determined by their spectrum?
    Van Dam, ER; Haemers, WH
  • Spectra of subdivision vertex-edge join of three graphs
    Wen, F; Zhang, Y; Li, M
  • The row-sums of the inverse matrix
    Wilansky, A