A new inequality for distance-regular graphs

From MaRDI portal
Publication:1343796

DOI10.1016/0012-365X(93)E0170-9zbMath0814.05074OpenAlexW2020693441MaRDI QIDQ1343796

Paul M. Terwilliger

Publication date: 8 June 1995

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(93)e0170-9




Related Items

On bipartite distance-regular graphs with exactly one non-thin \(T\)-module with endpoint twoON DISTANCE–REGULAR GRAPHS OF DIAMETER 3 WITH EIGENVALUE \(\theta=1\)\(Q\)-polynomial distance-regular graphs with \(a_1=0\)Kite-free \(P\)- and \(Q\)-polynomial schemesOn bipartite \(Q\)-polynomial distance-regular graphsOn strongly closed subgraphs with diameter two and the \(Q\)-polynomial propertyTwice Q-polynomial distance-regular graphs are thinOn bipartite \(Q\)-polynomial distance-regular graphs with \(c_{2}=1\)Homogeneity of a distance-regular graph which supports a spin modelBipartite \(Q\)-polynomial distance-regular graphs and uniform posetsThe \(Q\)-polynomial idempotents of a distance-regular graphParallelogram-free distance-regular graphsThe last subconstituent of a bipartite \(Q\)-polynomial distance-regular graphTriple intersection numbers of \(Q\)-polynomial distance-regular graphsLeonard pairs from 24 points of view.On symmetric association schemes and associated quotient-polynomial graphsA new inequality for bipartite distance-regular graphs.Leaves in representation diagrams of bipartite distance-regular graphsA characterization of \(Q\)-polynomial distance-regular graphsOn bipartite \(Q\)-polynomial distance-regular graphs with \(c_2 \leqslant 2\)3-bounded property in a triangle-free distance-regular graphTriangle-free distance-regular graphsOn \(Q\)-polynomial regular near \(2d\)-gonsA characterization of \(Q\)-polynomial distance-regular graphs using the intersection numbersAn inequality on the cosines of a tight distance-regular graphConnectivity concerning the last two subconstituents of a \(Q\)-polynomial distance-regular graphAn inequality for regular near polygonsTwo linear transformations each tridiagonal with respect to an eigenbasis of the otherOn the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_2 = 0\) and \(c_2 = 2\)The Norton algebra of a \(Q\)-polynomial distance-regular graphOn the Terwilliger algebra of bipartite distance-regular graphs with \(\Delta_{2}=0\) and \(c_{2}=1\)A note on triangle-free distance-regular graphs with \(a_2\neq 0\)Krein conditions and near polygonsDistance-regular graphs which support a spin model are thinTwo linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form2-homogeneous bipartite distance-regular graphsOn \(Q\)-polynomial distance-regular graphs \(\Gamma\) with strongly regular graphs \(\Gamma_2\) and \(\Gamma_3\)An equitable partition for a distance-regular graph of negative typeClassical distance-regular graphs of negative typeTight distance-regular graphsTails of bipartite distance-regular graphs



Cites Work


This page was built for publication: A new inequality for distance-regular graphs