Nonexistence of some antipodal distance-regular graphs of diameter four

DOI10.1006/eujc.2000.0427zbMath0958.05139OpenAlexW2088550857MaRDI QIDQ1590217

Aleksandar Jurišić, Jack H. Koolen

Publication date: 30 March 2001

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

Full work available at URL: https://doi.org/10.1006/eujc.2000.0427

zbMATH Keywords

strongly regular graphdistance-regular graphseigenvalues

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (15)

Remarks on pseudo-vertex-transitive graphs with small diameter ⋮ The subconstituent algebra of a strongly regular graph ⋮ The pseudo-cosine sequences of a distance-regular graph ⋮ Distance-regular graphs with complete multipartite \(\mu\)-graphs and AT4 family ⋮ Geometric distance-regular graphs without 4-claws ⋮ Classification of the family AT4(\(qs,q,q\)) of antipodal tight graphs ⋮ 1-homogeneous graphs with cocktail party \({\mu}\)-graphs ⋮ Geometric aspects of 2-walk-regular graphs ⋮ A new feasibility condition for the AT4 family ⋮ Shilla distance-regular graphs ⋮ Taut distance-regular graphs and the subconstituent algebra ⋮ Distance-regular graphs with light tails ⋮ Taut distance-regular graphs of even diameter ⋮ Tight distance-regular graphs and the subconstituent algebra ⋮ Taut distance-regular graphs of odd diameter

Cites Work

• Unnamed Item
• Some polar towers
• Three new distance-regular graphs
• Problems in algebraic combinatorics
• Tight distance-regular graphs
• Dual bipartite Q-polynomial distance-regular graphs
• Interlacing eigenvalues and graphs
• A new 5‐arc‐transitive cubic graph

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