Characterization of graphs with an eigenvalue of large multiplicity

DOI10.1155/2020/3054672zbMath1481.05105OpenAlexW3021575534MaRDI QIDQ2246527

Linming Qi, Lu Liu, Weiliang Zhao, Lian-Ying Miao

Publication date: 16 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/3054672

zbMATH Keywords

multiplicityeigenvaluecomplete bipartite graphcomplete tripartite graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (1)

On spectra of distance Randić matrix of graphs

Cites Work

• On graphs with just three distinct eigenvalues
• On regular graphs with four distinct eigenvalues
• On graphs with an eigenvalue of maximal multiplicity
• On eigenvalue multiplicity and the girth of a graph
• Spectra of graphs
• Graphs with three eigenvalues and second largest eigenvalue at most 1
• On multiple eigenvalues of trees
• On graphs with multiple eigenvalues
• Nonregular graphs with three eigenvalues
• On graphs with three eigenvalues
• Regular graphs with four eigenvalues
• On the multiplicity of eigenvalues of trees
• Eigenvalue multiplicity in regular graphs
• Eigenvalue multiplicity in quartic graphs
• A note on the multiplicities of graph eigenvalues
• Eigenvalue multiplicity in cubic graphs
• On the nullity of graphs
• ON THE MULTIPLICITIES OF GRAPH EIGENVALUES
• GRAPHS WITH A SMALL NUMBER OF DISTINCT EIGENVALUES
• A note on the multiplicities of the eigenvalues of a graph

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