Alexander Clow

collaborators

3 papers

math.CO2023

Injective edge colorings of degenerate graphs and the oriented chromatic number

Peter Bradshaw, Alexander Clow, Jingwei Xu

Given a graph $G$ , an injective edge-coloring of $G$ is a function $ψ : E (G) \to N$ such that if $ψ (e) = ψ (e^{'})$ , then no third edge joins an endpoint of $e$ and an en…

math.CO2023

Eternal Distance-2 Domination in Trees

Alexander Clow, Christopher M van Bommel

We consider the eternal distance-2 domination problem, recently proposed by Cox, Meger, and Messinger, on trees. We show that finding a minimum eternal distance-2 dominating set of…

math.CO2023

Ordinal Sums of Numbers

Alexander Clow, Neil McKay

In this paper we consider ordinal sums of combinatorial games where each summand is a number, not necessarily in canonical form. In doing so we give formulas for the value of an or…