Bounds of eigenvalues of \(K_{3,3}\)-minor free graphs

DOI10.1155/2009/852406zbMath1172.05335OpenAlexW1965521186WikidataQ59248843 ScholiaQ59248843MaRDI QIDQ1035554

Kun-fu Fang

Publication date: 3 November 2009

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2009/852406

zbMATH Keywords

spectral radiusadjacency matrixsmallest eigenvaluelargest eigenvaluewminor free graphs

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graph minors (05C83)

Related Items (4)

The spectral radius of minor-free graphs ⋮ Extremal spectral radius of \(K_{3,3}/K_{2,4}\)-minor free graphs ⋮ On the signless Laplacian spectral radius of K_s,t-minor free graphs ⋮ Degree powers in \(K_{s,t}\)-minor free graphs

Cites Work

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• On the spectral radius of (0,1)-matrices
• Sharp lower bounds of the least eigenvalue of planar graphs
• Tree-width, clique-minors, and eigenvalues.
• A bound on the spectral radius of graphs with \(e\) edges
• A sharp upper bound of the spectral radius of graphs

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