1-homogeneous graphs with cocktail party \({\mu}\)-graphs

DOI10.1023/A:1025133213542zbMath1038.05059MaRDI QIDQ1410769

Aleksandar Jurišić, Jack H. Koolen

Publication date: 15 October 2003

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

distance-regular graphJohnson graphTerwilliger graph1-homogeneouscocktail party graphGosset graphSchläffi graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (14)

The subconstituent algebra of a strongly regular graph ⋮ The pseudo-cosine sequences of a distance-regular graph ⋮ Homogeneity of a distance-regular graph which supports a spin model ⋮ Distance-regular graphs with complete multipartite \(\mu\)-graphs and AT4 family ⋮ Restrictions on classical distance-regular graphs ⋮ Classification of the family AT4(\(qs,q,q\)) of antipodal tight graphs ⋮ 1-homogeneous, pseudo-1-homogeneous, and 1-thin distance-regular graphs ⋮ On graphs with complete multipartite \(\mu \)-graphs ⋮ Taut distance-regular graphs and the subconstituent algebra ⋮ Locally triangular graphs and normal quotients of the \(n\)-cube ⋮ Taut distance-regular graphs of even diameter ⋮ On graphs in which the neighborhood of each vertex is isomorphic to the Gewirtz graph ⋮ Locally triangular graphs and rectagraphs with symmetry ⋮ Taut distance-regular graphs of odd diameter

Cites Work

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• Extended generalized quadrangles
• The Johnson graph \(J(d,r)\) is unique if \((d,r)\neq (2,8)\)
• Distance-regular graphs with girth 3 or 4: I
• Completely regular codes
• Homogeneous graphs and regular near polygons
• Problems in algebraic combinatorics
• Krein parameters and antipodal tight graphs with diameter 3 and 4
• Nonexistence of some antipodal distance-regular graphs of diameter four
• Tight distance-regular graphs
• Root systems and the Johnson and Hamming graphs
• Strongly regular graphs with (-1, 1, 0) adjacency matrix having eigenvalue 3
• Antipodal covering graphs
• Characerization of a class of distance regular graphs.
• On the uniqueness of a certain thin near octagon (or partial 2-geometry, or parallelism) derived from the binary Golay code
• A local approach to 1-homogeneous graphs

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