71 citations · 733 across the 109 of their papers we have counts for
29 papers · 1 filter
The Terwilliger algebra for the distance-regular graphs with valency three
Kevin Kauflin, Paul Terwilliger, Barnabás Valkó +2
In this paper, we discuss a family of highly regular graphs, said to be distance-regular. We are particularly interested in the distance-regular graphs with valency three. It is kn…
Spin Leonard pairs and the zero diagonal space
Kazumasa Nomura, Paul Terwilliger
We consider a Leonard pair of linear maps on a vector space that has finite positive dimension. This Leonard pair is said to have spin whenever there exist inv…
The Lie algebra and the hypercubes
William J. Martin, Paul Terwilliger
We describe a relationship between the Lie algebra and the hypercube graphs. Consider the -algebra of polynomials in four commuting vari…
Spin models and distance-regular graphs of -Racah type
Kazumasa Nomura, Paul Terwilliger
Let denote a distance-regular graph, with vertex set and diameter . We assume that is formally self-dual and -Racah type. We also assume that for each $x \i…
A -polynomial structure for the Attenuated Space poset
Paul Terwilliger
The goal of this article is to display a -polynomial structure for the Attenuated Space poset . The poset is briefly described as follows.…
A -polynomial structure associated with the projective geometry
Paul Terwilliger
There is a type of distance-regular graph, said to be -polynomial. In this paper we investigate a generalized -polynomial property involving a graph that is not necessarily d…