G. Erskine

activity

20142026

most citedA revised Moore bound for mixed graphs

22 citations · 46 across the 20 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.CO2018

On total regularity of mixed graphs with order close to the Moore bound

James Tuite, Grahame Erskine

The undirected degree/diameter and degree/girth problems and their directed analogues have been studied for many decades in the search for efficient network topologies. Recently su…

math.CO2018★ 1 cited

Clique-partitioned graphs

Grahame Erskine, Terry Griggs, Jozef Širáň

A graph $G$ of order $n v$ where $n \geq 2$ and $v \geq 2$ is said to be weakly $(n, v)$ -clique-partitioned if its vertex set can be decomposed in a unique way into $n$ vertex-disjoint…

math.CO2018★ 1 cited

Self-dual, self-Petrie-dual and Möbius regular maps on linear fractional groups

Grahame Erskine, Katarína Hriňáková, Olivia Jeans

Regular maps on linear fractional groups $P S L (2, q)$ and $P G L (2, q$ ) have been studied for many years and the theory is well-developed, including generating sets for the asscoiated g…