activity
20122026
most citedOn the Wiener index, distance cospectrality and transmission regular graphs

4 citations · 4 across the 5 of their papers we have counts for

collaborators

7 papers

math.CO2026

Four class association scheme double covers of strongly regular graphs

Patrick Cesarz, Jason Williford

In this paper we give necessary conditions for 4-class association schemes that are generated by double covers of strongly regular graphs. These conditions are applied to open case…

math.CO2021

A Classification of Hyperfocused 12-Arcs

Philip DeOrsey, Stephen G. Hartke, Jason Williford

A -arc in PG() is a set of points no three of which are collinear. A hyperfocused -arc is a -arc in which the secants meet some external line in exa…

math.CO2019

On few-class -polynomial association schemes: feasible parameters and nonexistence results

Alexander L. Gavrilyuk, Janoš Vidali, Jason S. Williford

We present the tables of feasible parameters of primitive -class -polynomial association schemes and - and -class -bipartite association schemes (on up to , $1…

math.CO2017

The Eigenvalues of the Graphs

G. Eric Moorhouse, Shuying Sun, Jason Williford

The graphs have connected components giving the best known bounds on extremal problems with {\em forbidden\/} even cycles, and are denser than the well-known gra…

math.CO2016★ 4 cited

On the Wiener index, distance cospectrality and transmission regular graphs

Aida Abiad, Boris Brimkov, Aysel Erey +5

In this paper, we investigate various algebraic and graph theoretic properties of the distance matrix of a graph. Two graphs are -cospectral if their distance matrices have the…

math.CO2015

Double Covers of Symplectic Dual Polar Graphs

G. Eric Moorhouse, Jason Williford

Let be the dual polar graph of type . Underlying this graph is a -dimensional vector space over a field of odd order , together wit…

math.CO2012

Extremal Graphs Without 4-Cycles

Frank A. Firke, Peter M. Kosek, Evan D. Nash +1

We prove an upper bound for the number of edges a C4-free graph on q^2 + q vertices can contain for q even. This upper bound is achieved whenever there is an orthogonal polarity gr…