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Commutativity of the adjacency matrices of graphs

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Publication:1011500
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DOI10.1016/J.DISC.2008.09.006zbMath1194.05076OpenAlexW2000352218MaRDI QIDQ1011500

J. Martínez

Publication date: 8 April 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.09.006


zbMATH Keywords

adjacency matrixcommutativitygraph decomposition


Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)


Related Items (7)

Matrix product (modulo-2) of graphs ⋮ Algorithm to check the existence of H for a given G such that A(G)A(H) is graphical ⋮ On a construction using commuting regular graphs ⋮ Some constructions of integral graphs ⋮ On the necessary and sufficient condition for a set of matrices to commute and some further linked results ⋮ Commuting decomposition of \(K_{n_1,n_2,\dots,n_k}\) through realization of the product \(A(G)A\left(G^P_k\right)\) ⋮ Spectra of \((H_1, H_2)\)-merged subdivision graph of a graph




Cites Work

  • On the polynomial of a path
  • Commuting decompositions of complete graphs
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