Jason Williford

collaborators

3 papers

math.CO2026

Strengthening the balanced set condition for the distance-regular graph of the bilinear forms

Paul Terwilliger, Jason Williford

We consider a distance-regular graph $I^ = (X, R)$ called the bilinear forms graph $H_{q} (D, N - D)$ ; we assume $N > 2 D \geq 6$ and $q \neq = 2$ . We show that $I^$ satisfies the follo…

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 $I^ = (X, R)$ called a bilinear forms graph. We assume that the diameter $D$ of $I^$ is at least $3$ . Fix adjacent vertices $x,y…

math.CO2025

Boundaries of pseudointegral polygons

Tyrrell B. McAllister, Jason S. Williford

We prove that a rational pseudointegral triangle with exactly one lattice point in its interior has at most $9$ lattice points on its boundary, where a polygon $P$ is called pseudo…