On the two largest eigenvalues of trees

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Publication:1361770

DOI10.1016/S0024-3795(97)80004-3zbMath0876.05068MaRDI QIDQ1361770

Michael Hofmeister

Publication date: 25 November 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)




Related Items (29)

Ordering graphs with small index and its applicationOn the largest eigenvalues of treesOrdering graphs by their largest (least) Aα-eigenvaluesBounds on the largest eigenvalues of trees with a given size of matchingThe \(\alpha \)-spectral radius of general hypergraphsMore on the Estrada indices of treesThe first three largest values of the spectral norm of oriented bicyclic graphsOrdering unicyclic graphs in terms of their smaller least eigenvaluesExtremal problems for the eccentricity matrices of complements of treesThe maximum \(\alpha \)-spectral radius and the majorization theorem of \(k\)-uniform supertreesOrdering trees by \(\alpha\)-indexReciprocal distance Laplacian spectral properties double stars and their complementsUpper bounds on the smallest positive eigenvalue of treesOrdering trees by their largest eigenvaluesOrdering trees by their largest eigenvaluesOrdering trees and graphs with few cycles by algebraic connectivityOn the spectral radius of treesThe spectral radius of trees on \(k\) pendant verticesOn the largest eigenvalues of trees with perfect matchingsOn the spectral radii and the signless Laplacian spectral radii of c-cyclic graphs with fixed maximum degreeOrdering uniform supertrees by their spectral radiiOrdering of some uniform supertrees with larger spectral radiiBounds on the ABC spectral radius of a treeCoxeter energy of graphsThe spread of the unicyclic graphsThe multiplicity of eigenvalues of treesOn the largest eigenvalues of bipartite graphs which are nearly completeUpper bounds on the smallest positive eigenvalue of trees with at most one zero eigenvalueOn the spectral radius of trees with fixed diameter



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