Graphs with few distinct eigenvalues and extremal energy

DOI10.1016/j.laa.2021.02.027zbMath1462.05210OpenAlexW3133626021MaRDI QIDQ2020686

N. E. Arévalo, Rodrigo O. Braga, Virgínia M. Rodrigues

Publication date: 24 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.02.027

zbMATH Keywords

trace normgraph energyfew eigenvalues

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On regular graphs with four distinct eigenvalues
• Spectra of graphs
• Beyond graph energy: norms of graphs and matrices
• The energy of graphs and matrices
• Graphs with three distinct eigenvalues and largest eigenvalue less than 8
• Multiplicative designs II. Uniform normal and related structures
• On the spectrum of a complete multipartite graph
• Multiplicative cones - a family of three eigenvalue graphs
• Nonregular graphs with three eigenvalues
• On graphs with three eigenvalues
• Small regular graphs with four eigenvalues
• Regular graphs with four eigenvalues
• Some new aspects of main eigenvalues of graphs
• Inverses of triangular matrices and bipartite graphs
• Symmetric designs and related configurations
• Graph Energy
• A survey on integral graphs
• Star complementary strongly regular decompositions of strongly regular graphs
• On a combinatorial generalization of 27 lines associated with a cubic surface
• GRAPHS WITH A SMALL NUMBER OF DISTINCT EIGENVALUES
• Maximal energy graphs