Multiplicity of signless Laplacian eigenvalue 2 of a connected graph with a perfect matching

DOI10.1016/J.DAM.2024.11.003MaRDI QIDQ6657250

Jinxing Zhao, Xiaoxiang Yu

Publication date: 6 January 2025

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

zbMATH Keywords

multiplicity of eigenvaluesperfect matchingsignless Laplacian matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

• Graph reduction techniques and the multiplicity of the Laplacian eigenvalues
• Spectra of graphs
• Hamilton cycles and eigenvalues of graphs
• On the multiplicity of the least signless Laplacian eigenvalue of a graph
• The multiplicity of Laplacian eigenvalue two in a connected graph with a perfect matching
• The multiplicity of Laplacian eigenvalue two in unicyclic graphs
• A note on graphs whose signless Laplacian has three distinct eigenvalues

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