Lexicographic polynomials of graphs and their spectra

DOI10.2298/AADM1702258CzbMath1499.05353MaRDI QIDQ5034288

Paula Rama, Paula A. A. B. Carvalho, Zoran Stanić, Domingos Moreira Cardoso, Slobodan K. Simic

Publication date: 24 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectrumadjacency matrixLaplacian spectrumLaplacian matrixcospectral graphsintegral graphslexicographic product

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Graph operations (line graphs, products, etc.) (05C76)

Related Items (3)

Unnamed Item ⋮ Total graph of a signed graph ⋮ The \(H\)-join of arbitrary families of graphs -- the universal adjacency spectrum

Cites Work

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• Spectra and Laplacian spectra of arbitrary powers of lexicographic products of graphs
• Spectra of graphs
• Laplace eigenvalues of graphs---a survey
• Spectra of generalized compositions of graphs and hierarchical networks
• On the group of the composition of two graphs
• The composition of graphs
• Laplacian matrices of graphs: A survey
• Which graphs are determined by their spectrum?
• Spectra of graphs obtained by a generalization of the join graph operation
• The Laplacian spectra of graphs with a tree structure
• Matrix theory. Basic results and techniques

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