16 citations · 77 across the 45 of their papers we have counts for
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math.CO2020
Groups for which it is easy to detect graphical regular representations
Dave Witte Morris, Joy Morris, Gabriel Verret
We say that a finite group G is "DRR-detecting" if, for every subset S of G, either the Cayley digraph Cay(G,S) is a digraphical regular representation (that is, its automorphism g…
math.CO2020★ 1 cited
Counterexamples to "A Conjecture on Induced Subgraphs of Cayley Graphs" [arXiv:2003.13166]
Florian Lehner, Gabriel Verret
Recently, Huang gave a very elegant proof of the Sensitivity Conjecture by proving that hypercube graphs have the following property: every induced subgraph on a set of more than h…
math.CO2020
Base Graph -- Connection Graph: Dissection and Construction
Gabriel Verret, Primož Potočnik, Steve Wilson
This paper presents a phenomenon which sometimes occurs in tetravalent bipartite locally dart-transitive graphs, called a Base Graph -- Connection Graph dissection. In this dissect…