Some results on the eigenvalues of distance-regular graphs

DOI10.1007/s00373-015-1622-6zbMath1327.05198OpenAlexW1251771716MaRDI QIDQ897242

Jongyook Park, Sejeong Bang, Jack H. Koolen

Publication date: 17 December 2015

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-015-1622-6

zbMATH Keywords

distance-regular graphspectral gapodd graph\(t\)-walk-regular graphdoubled odd graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Related Items

Light tails and the Hermitian dual polar graphs, 2-walk-regular graphs with a small number of vertices compared to the valency, Non-bipartite distance-regular graphs with a small smallest eigenvalue, On 2-walk-regular graphs with a large intersection number \(c_2\), Non-bipartite distance-regular graphs with diameters 5, 6 and a smallest eigenvalue

Cites Work

• Unnamed Item
• Distance-regular graphs
• Distance-regular graphs with an eigenvalue \(-k < \theta \leq 2-k\)
• On \(k\)-walk-regular graphs
• A new feasibility condition for distance-regular graphs
• On almost distance-regular graphs
• Geometric aspects of 2-walk-regular graphs
• Spectral and Geometric Properties of k-Walk-Regular Graphs