Intriguing sets of vertices of regular graphs

DOI10.1007/s00373-010-0924-yzbMath1230.05297OpenAlexW2007881507MaRDI QIDQ604997

Hiroshi Suzuki, Bart De Bruyn

Publication date: 12 November 2010

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

Full work available at URL: http://hdl.handle.net/1854/LU-1105494

zbMATH Keywords

regular graphintriguing settight setcompletely regular code\(T\)-Design

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items

Boolean degree 1 functions on some classical association schemes ⋮ Triangle-free induced subgraphs of the unitary polarity graph ⋮ Completely regular codes in Johnson and Grassmann graphs with small covering radii ⋮ Neumaier graphs with few eigenvalues ⋮ Intriguing sets of points of \(Q(2n,2)\backslash Q ^{+}(2n - 1,2)\) ⋮ Completely regular clique graphs ⋮ A modular equality for m$m$‐ovoids of elliptic quadrics ⋮ On intriguing sets in five classes of strongly regular graphs ⋮ Perfect colorings of the infinite square grid: coverings and twin colors ⋮ Unnamed Item ⋮ Equivalent definitions for (degree one) Cameron-Liebler classes of generators in finite classical polar spaces ⋮ Cameron-Liebler sets in bilinear forms graphs ⋮ Perfect 2-colorings of the Grassmann graph of planes ⋮ Antidesigns and regularity of partial spreads in dual polar graphs ⋮ On intriguing sets of the Penttila-Williford association scheme

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tight sets of points in the half-spin geometry related to \(Q^{+}(9, q)\)
• A hemisystem of a nonclassical generalised quadrangle
• Completely regular codes
• Width and dual width of subsets in polynomial association schemes
• Cycle-balance conditions for distance-regular graphs
• Interlacing eigenvalues and graphs
• Tight sets and \(m\)-ovoids of finite polar spaces
• Segre's hemisystem and McLaughlin's graph
• Classification of subsets with minimal width and dual width in Grassmann, bilinear forms and dual polar graphs
• Intriguing sets in partial quadrangles
• Every flock generalized quadrangle has a hemisystem
• A characterization of m-ovoids and i-tight sets of polar spaces
• HEMISYSTEMS ON THE HERMITIAN SURFACE

This page was built for publication: Intriguing sets of vertices of regular graphs