Paul Terwilliger

activity

20242026

Q

-polynomial structures, and quantum groups

1 citations · 3 across the 11 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.CO2025

An equitable partition for the distance-regular graph of the bilinear forms

Paul Terwilliger, Jason Williford

We consider a type of distance-regular graph $Γ = (X, R)$ called a bilinear forms graph. We assume that the diameter $D$ of $Γ$ is at least $3$ . Fix adjacent vertices $x,y \…

math.CO2025

Raising and lowering maps for tridiagonal pairs

Paul Terwilliger

Let $V$ denote a nonzero finite-dimensional vector space. A tridiagonal pair on $V$ is an ordered pair $A, A^{*}$ of maps in $End (V)$ such that (i) each of $A, A^{*}$ is diagonal…

math.CO2025

2-Homogeneous bipartite distance-regular graphs and the quantum group $U_{q}^{'} (so_{6})$

Paul Terwilliger

We consider a 2-homogeneous bipartite distance-regular graph $Γ$ with diameter $D \geq 3$ . We assume that $Γ$ is not a hypercube nor a cycle. We fix a $Q$ -polynomial ordering of th…

An equitable partition for the distance-regular graph of the bilinear forms

Raising and lowering maps for tridiagonal pairs

2-Homogeneous bipartite distance-regular graphs and the quantum group Uq′​(so6​)

2-Homogeneous bipartite distance-regular graphs and the quantum group $U_{q}^{'} (so_{6})$