Connected \(Q\)-integral graphs with maximum edge-degree less than or equal to 8

DOI10.1016/j.disc.2022.113265zbMath1506.05125OpenAlexW4310349380MaRDI QIDQ2111924

Lavanya Selvaganesh, Jesmina Pervin

Publication date: 17 January 2023

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

Full work available at URL: https://doi.org/10.1016/j.disc.2022.113265

zbMATH Keywords

signless Laplacian matrixintegral graphedge-degree\(Q\)-integral graph\(Q\)-spectral radius

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Cites Work

• Signless Laplacian spectral radius and fractional matchings in graphs
• Signless Laplacians of finite graphs
• Q-integral graphs with edge-degrees at most five
• Towards a spectral theory of graphs based on the signless Laplacian. II.
• On \(Q\)-integral graphs with edge-degrees at most six
• Moore-Penrose inverses of the signless Laplacian and edge-Laplacian of graphs
• \(Q\)-integral graphs with at most two vertices of degree greater than or equal to three
• Constructing non-isomorphic signless Laplacian cospectral graphs
• On Q-integral (3,s)-semiregular bipartite graphs
• Towards a spectral theory of graphs based on the signless Laplacian, I
• The nonregular, bipartite, integral graphs with maximum degree 4. I: Basic properties
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