13 citations · 34 across the 7 of their papers we have counts for
8 papers
The 4-Regular Edge-Transitive Graphs of Girth 4
Tomas Boothby, Matt DeVos
This paper presents a characterization of edge-transitive graphs which are four regular and have girth four. This class consists of four infinite families plus four exceptional gra…
An algebraic approach to enumerating non-equivalent double traces in graphs
Nino Bašić, Drago Bokal, Tomas Boothby +1
Recently designed biomolecular approaches to build single chain polypeptide polyhedra as molecular origami nanostructures have risen high interest in various double traces of the u…
Tight Heffter Arrays Exist for all Possible Values: The Research Report
Dan S. Archdeacon, Tomas Boothby, Jeffrey H. Dinitz
A tight Heffter array H(m,n) is an m x n matrix with nonzero entries from Z_{2mn+1} such that i) the sum of the elements in each row and each column is 0, and ii) no element from {…
Fast clique minor generation in Chimera qubit connectivity graphs
Kelly Boothby, Andrew D. King, Aidan Roy
The current generation of D-Wave quantum annealing processor is designed to minimize the energy of an Ising spin configuration whose pairwise interactions lie on the edges of a {\e…
A New Proof of Kemperman's Theorem
Tomas Boothby, Matt DeVos, Amanda Montejano
Let be an additive abelian group and let be finite and nonempty. The pair is called critical if the sumset $A+B = {a+b \mid $a \in Ab\in B$}$ s…
On the Cyclically Fully Commutative Elements of Coxeter Groups
Tomas Boothby, Jeffrey Burkert, Morgan Eichwald +3
Let W be an arbitrary Coxeter group. If two elements have expressions that are cyclic shifts of each other (as words), then they are conjugate (as group elements) in W. We say that…