On bipartite \(Q\)-polynomial distance-regular graphs with diameter 9, 10, or 11

zbMath1391.05174MaRDI QIDQ1753018

Štefko Miklavič

Publication date: 25 May 2018

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/v25i1p52

zbMATH Keywords

\(Q\)-polynomial propertybipartite distance-regular graphs

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (5)

On the Terwilliger algebra of distance-biregular graphs ⋮ On standard bases of irreducible modules of Terwilliger algebras of Doob schemes ⋮ On symmetric association schemes and associated quotient-polynomial graphs ⋮ On bipartite graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin ⋮ Certain graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin

Cites Work

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• Distance-regular graphs
• Bipartite distance-regular graphs: the \(Q\)-polynomial property and pseudo primitive idempotents
• Spectra of bipartite \(P\)- and \(Q\)-polynomial association schemes
• The Terwilliger algebras of bipartite \(P\)- and \(Q\)-polynomial schemes
• Bipartite \(Q\)-polynomial quotients of antipodal distance-regular graphs
• Homogeneous graphs and regular near polygons
• Almost 2-homogeneous bipartite distance-regular graphs
• The parameters of bipartite \(Q\)-polynomial distance-regular graphs
• Bipartite \(Q\)-polynomial distance-regular graphs
• Spin models on bipartite distance-regular graphs
• Twice Q-polynomial distance-regular graphs are thin

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