A local characterization of the Johnson scheme

DOI10.1007/BF02579203zbMath0653.05019OpenAlexW1964519767MaRDI QIDQ1107538

Jonathan I. Hall

Publication date: 1987

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02579203

zbMATH Keywords

association schemeJohnson schemedistance regular graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Designs and configurations (05B99)

Related Items (8)

An infinite family of incidence geometries whose incidence graphs are locally X ⋮ Covering projections of graphs preserving links of vertices and edges ⋮ Unnamed Item ⋮ Bounding the diameter of a distance regular graph by a function of \(k_ d\) ⋮ Locally \(K_{3,3}\) or Petersen graphs ⋮ The local recognition of reflection graphs of spherical Coxeter groups ⋮ The 2-partially distance-regular graphs such that their second largest local eigenvalues are at most one ⋮ Covering spaces of locally homogeneous graphs

Cites Work

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• The graphs G(n,k) of the Johnson schemes are unique for n\(\geq 20\)
• Locally cotriangular graphs
• Locally polar spaces and related rank 3 groups
• Characerization of a class of distance regular graphs.
• On Identifying PG(3,2) and the Complete 3-Design on Seven Points
• Locally 4‐by‐4 grid graphs

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