The \(A_\alpha\)-spectral radius for path-factors in graphs

DOI10.1016/j.disc.2024.113940MaRDI QIDQ6204351

Yuli Zhang, Zhi-ren Sun, Si-zhong Zhou

Publication date: 27 March 2024

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

zbMATH Keywords

\(A_\alpha\)-spectral radius\(P_{\geq 2}\)-factor

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (1)

Two Sufficient Conditions for Graphs to Admit Path Factors

Cites Work

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• Signless Laplacian spectral radius and fractional matchings in graphs
• Component factors with large components in graphs
• An extension of Tutte's 1-factor theorem
• Graphs determined by their \(A_\alpha\)-spectra
• On the \(\alpha\)-index of graphs with pendent paths
• A note on the \(A_{\alpha}\)-spectral radius of graphs
• Interlacing eigenvalues and graphs
• On the spectrum of an equitable quotient matrix and its application
• Positive semidefiniteness of \(A_\alpha (G)\) on some families of graphs
• A neighborhood union condition for fractional \((a, b, k)\)-critical covered graphs
• Some results on path-factor critical avoidable graphs
• On path-factor critical deleted (or covered) graphs
• Path factors in subgraphs
• Spectral radius and matchings in graphs
• Perfect matching and distance spectral radius in graphs and bipartite graphs
• The \(A_\alpha\)-spectral radius and perfect matchings of graphs
• Two sufficient conditions for odd \([1,b\)-factors in graphs]
• Some sufficient conditions for path-factor uniform graphs
• Spectral conditions for graphs to be β-deficient involving minimum degree
• Merging the A-and Q-spectral theories
• Isolated toughness for path factors in networks
• The existence of path-factor uniform graphs with large connectivity
• TOUGHNESS, ISOLATED TOUGHNESS AND PATH FACTORS IN GRAPHS
• Degree conditions for the existence of a {P₂, P₅}-factor in a graph
• Path-factor critical covered graphs and path-factor uniform graphs

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