Nonexistence of a class of distance-regular graphs

zbMath1325.05066MaRDI QIDQ491527

Yu-Pei Huang, Chih-Wen Weng, Yeh-Jong Pan

Publication date: 26 August 2015

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i2p37

zbMATH Keywords

distance-regular graphparallelogram\(D\)-boundedclassical parametersstrongly closed subgraph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Distance in graphs (05C12)

Related Items (2)

Restrictions on classical distance-regular graphs ⋮ Further study of distance-regular graphs with classical parameters with \(b < -1\)

Cites Work

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• A Higman inequality for regular near polygons
• \(D\)-bounded distance-regular graphs
• The subconstituent algebra of an association scheme. I
• 3-bounded property in a triangle-free distance-regular graph
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• Distance-regular graph with \(c_{2} > 1\) and \(a_{1} = 0 < a_{2}\)
• Weak-geodetically closed subgraphs in distance-regular graphs
• Classical distance-regular graphs of negative type
• Parallelogram-free distance-regular graphs
• Kite-free distance-regular graphs
• Triangle-free distance-regular graphs
• A note on triangle-free distance-regular graphs with \(a_2\neq 0\)
• STRONGLY CLOSED SUBGRAPHS OF A DISTANCE-REGULAR GRAPH WITH GEOMETRIC GIRTH FIVE

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