On bipartite \(Q\)-polynomial distance-regular graphs

DOI10.1016/j.ejc.2005.09.003zbMath1200.05262OpenAlexW2086627044MaRDI QIDQ854810

Štefko Miklavič

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2005.09.003

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (12)

An \(A\)-invariant subspace for bipartite distance-regular graphs with exactly two irreducible \(T\)-modules with endpoint 2, both thin ⋮ Bipartite \(Q\)-polynomial distance-regular graphs and uniform posets ⋮ A new characterization of taut distance-regular graphs of odd diameter ⋮ On bipartite distance-regular graphs with intersection numbers \(c_{i} = (q^{i}-1)/(q-1)\) ⋮ Sharp tridiagonal pairs ⋮ Towards a classification of the tridiagonal pairs ⋮ The local eigenvalues of a bipartite distance-regular graph ⋮ On bipartite distance-regular graphs with exactly two irreducible T-modules with endpoint two ⋮ The structure of a tridiagonal pair ⋮ A combinatorial basis for Terwilliger algebra modules of a bipartite distance-regular graph ⋮ On the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_{2}=0\) and \(c_{2}=1\) ⋮ On the shape of a tridiagonal pair

Cites Work

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• The Terwilliger algebras of bipartite \(P\)- and \(Q\)-polynomial schemes
• Bipartite distance-regular graphs. I
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• Homogeneous graphs and regular near polygons
• A new inequality for distance-regular graphs
• Problems in algebraic combinatorics
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• 2-homogeneous bipartite distance-regular graphs
• Almost 2-homogeneous bipartite distance-regular graphs
• The parameters of bipartite \(Q\)-polynomial distance-regular graphs
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• Bipartite \(Q\)-polynomial distance-regular graphs
• Bipartite distance-regular graphs. II
• The local structure of a bipartite distance-regular graph
• Distance-regular graphs related to the quantum enveloping algebra of \(sl(2)\)

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