Strongly regular graphs with maximal energy

DOI10.1016/j.laa.2008.03.024zbMath1152.05060OpenAlexW3122107585MaRDI QIDQ952063

Willem H. Haemers

Publication date: 6 November 2008

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

Full work available at URL: https://research.tilburguniversity.edu/en/publications/210fabe5-8120-429c-9fdd-4927a95ea845

zbMATH Keywords

strongly regular graphHadamard matrixgraph energy

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Association schemes, strongly regular graphs (05E30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (21)

Maximum norms of graphs and matrices, and their complements ⋮ On the locating matrix of a graph and its spectral analysis ⋮ A sharp upper bound on the incidence energy of graphs in terms of connectivity ⋮ 4-regular oriented graphs with optimum skew energies ⋮ On incidence energy of graphs ⋮ All primitive strongly regular graphs except four are hyperenergetic ⋮ Extrema of graph eigenvalues ⋮ On the energy of \((0, 1)\)-matrices ⋮ Sharp bounds on the distance spectral radius and the distance energy of graphs ⋮ The matching energy of a graph ⋮ Strongly regular graphs with parameters \((4m^{4},2m^{4}+m^{2},m^{4}+m^{2},m^{4}+m^{2})\) exist for all \(m>1\) ⋮ Energy of line graphs ⋮ The energy of unitary Cayley graphs ⋮ Beyond graph energy: norms of graphs and matrices ⋮ Unnamed Item ⋮ On bipartite graphs with minimal energy ⋮ Graph switching, 2-ranks, and graphical Hadamard matrices ⋮ Median eigenvalues and the HOMO-LUMO index of graphs ⋮ Perfect state transfer on distance-regular graphs and association schemes ⋮ The trace norm of \(r\)-partite graphs and matrices ⋮ Distance–regular graphs having theM-property

Cites Work

• Distance regular graphs of diameter 3 and strongly regular graphs
• Regular 2-graphs and extensions of partial geometries
• Switching of edges in strongly regular graphs. I: A family of partial difference sets on 100 vertices
• Strongly regular graphs with (-1, 1, 0) adjacency matrix having eigenvalue 3
• On Orthogonal Matrices
• Symmetric Bush-type Hadamard matrices of order $4m^4$ exist for all odd $m$
• Maximal energy graphs
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Strongly regular graphs with maximal energy