On the eigenvalues and spectral radius of starlike trees
type: Item
instance of: scholarly article
title: On the eigenvalues and spectral radius of starlike trees
zbMATH Open document ID: 1432.05063
author: Mohammad Reza Oboudi
published in: Aequationes Mathematicae
publication date: 2018-08-20T00:00:00Z
review text: Let \(k\) and \(n_1,\dots,n_k\) be positive integers. In this paper, the eigenvalues are computed for the family of star-like trees \(S(n_1,\dots,n_k)\) that is formed from \(k\) disjoint paths of lenght \(n_1,\dots,n_k\), respectively, each path joined by one leaf to another vertex \(v\). Additionally, the star-like trees whose eigenvalues are in the interval \((-2,2)\) are characterized.
reviewed by: Carlos A. Alfaro
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 05C31
Mathematics Subject Classification ID: 05C05
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 6920389
zbMATH Keywords: starlike tree
zbMATH Keywords: eigenvalues of graphs
zbMATH Keywords: spectral radius of graphs
MaRDI profile type: Publication
full work available at URL: s00010-017-0533-4
OpenAlex ID: W2791896491
cites work: Q3907599
cites work: Q3642517
cites work: Some new bounds on the spectral radius of graphs
cites work: Small graphs with exactly two non-negative eigenvalues
cites work: Q2716030
cites work: Locating the eigenvalues of trees
cites work: No starlike trees are cospectral
cites work: Some results on starlike and sunlike graphs
cites work: On the eigenvalues of trees
cites work: Bipartite graphs with at most six non-zero eigenvalues
cites work: Characterization of graphs with exactly two non-negative eigenvalues
cites work: Cospectrality of complete bipartite graphs
cites work: Q5280006
cites work: Q4642071
cites work: On the third largest eigenvalue of graphs
cites work: Starlike trees are determined by their Laplacian spectrum
cites work: Starlike trees with maximum degree 4 are determined by their signless Laplacian spectra
cites work: Bounding the largest eigenvalue of trees in terms of the largest vertex degree
cites work: On spectral radius and energy of complete multipartite graphs
cites work: Q3191862
cites work: Spectral characterization of line graphs of starlike trees
DOI: 10.1007/S00010-017-0533-4
Recommended article: On the spectral radii of an \(m\)-starlike tree
Recommended article: Majorization and the spectral radius of starlike trees
Recommended article: Q3153188
Recommended article: Q3594197
Recommended article: On the spectral radius of non-starlike trees with given number of pendent vertices
Recommended article: On the spectral radius of trees
Recommended article: Q3170263
Recommended article: Q4387426
Recommended article: Q3109529
Recommended article: On the Laplacian spectral radii of trees
description: scientific article; zbMATH DE number 6920389