28 citations · 124 across the 28 of their papers we have counts for
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A tale of two -deformations : connecting dual polar spaces and weighted hypercubes
Pierre-Antoine Bernard, Étienne Poliquin, Luc Vinet
Two -analogs of the hypercube graph are introduced and shown to be related through a graph quotient. The roles of the subspace lattice graph, of a twisted primitive elements of…
Bivariate - and -polynomial structures of the association schemes based on attenuated spaces
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet +2
The bivariate - and -polynomial structures of association schemes based on attenuated spaces are examined using recurrence and difference relations of the bivariate polynomia…
m-distance-regular graphs and their relation to multivariate P-polynomial association schemes
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet +2
An association scheme is -polynomial if and only if it consists of the distance matrices of a distance-regular graph. Recently, bivariate -polynomial association schemes of t…
Bivariate -polynomial association schemes
P. -A. Bernard, N. Crampe, L. Poulain d'Andecy +2
Bivariate P-polynomial association scheme of type are defined as a generalization of the P-polynomial association schemes. This generalization is shown to be equivalent to…
The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet
The adjacency matrix of a symplectic dual polar graph restricted to the eigenspaces of an abelian automorphism subgroup is shown to act as the adjacency matrix of a weighted subspa…