Graphs with few distinct eigenvalues and extremal energy
type: Item
instance of: scholarly article
title: Graphs with few distinct eigenvalues and extremal energy
zbMATH Open document ID: 1462.05210
author: N. E. Arévalo
author: Rodrigo O. Braga
author: Virgínia M. Rodrigues
published in: Linear Algebra and its Applications
publication date: 2021-04-24T00:00:00Z
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 7337657
zbMATH Keywords: graph energy
zbMATH Keywords: trace norm
zbMATH Keywords: few eigenvalues
MaRDI profile type: Publication
full work available at URL: j.laa.2021.02.027
OpenAlex ID: W3133626021
cites work: Some new aspects of main eigenvalues of graphs
cites work: On a combinatorial generalization of 27 lines associated with a cubic surface
cites work: Q4208001
cites work: A survey on integral graphs
cites work: Inverses of triangular matrices and bipartite graphs
cites work: Q4831098
cites work: Multiplicative designs II. Uniform normal and related structures
cites work: Multiplicative cones - a family of three eigenvalue graphs
cites work: Spectra of graphs
cites work: Q4105702
cites work: Graphs with three distinct eigenvalues and largest eigenvalue less than 8
cites work: Q3907599
cites work: GRAPHS WITH A SMALL NUMBER OF DISTINCT EIGENVALUES
cites work: On the spectrum of a complete multipartite graph
cites work: Q2716030
cites work: Q4186355
cites work: Q4902474
cites work: On regular graphs with four distinct eigenvalues
cites work: Maximal energy graphs
cites work: Graph Energy
cites work: On graphs with three eigenvalues
cites work: The energy of graphs and matrices
cites work: Beyond graph energy: norms of graphs and matrices
cites work: Symmetric designs and related configurations
cites work: Star complementary strongly regular decompositions of strongly regular graphs
cites work: Regular graphs with four eigenvalues
cites work: Nonregular graphs with three eigenvalues
cites work: Small regular graphs with four eigenvalues
DOI: 10.1016/J.LAA.2021.02.027
Recommended article: Graphs with extremal energy should have a small number of distinct eigenvalues
Recommended article: On graphs with distinct eigenvalues
Recommended article: Graphs with few distinct \(D\)-eigenvalues determined by their \(D\)-spectra
Recommended article: Eigenvalues and extremal degrees of graphs
Recommended article: Extrema of graph eigenvalues
Recommended article: Graphs with many valencies and few eigenvalues
Recommended article: Minimum number of distinct eigenvalues of graphs
Recommended article: Graphs with a small number of nonnegative eigenvalues
Recommended article: On extremal eigenvalues of the graph Laplacian *
Recommended article: Extremal Graph Realizations and Graph Laplacian Eigenvalues
description: scientific article; zbMATH DE number 7337657