S. Ogden

activity

20192022

most citedThe rainbow saturation number is linear

4 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2022★ 4 cited

The rainbow saturation number is linear

Natalie Behague, Tom Johnston, Shoham Letzter +2

Given a graph $H$ , we say that an edge-coloured graph $G$ is $H$ -rainbow saturated if it does not contain a rainbow copy of $H$ , but the addition of any non-edge in any colour crea…

math.CO2020★ 1 cited

Total Roman Domination Edge-Supercritical and Edge-Removal-Supercritical Graphs

C. M. Mynhardt, S. E. A. Ogden

A total Roman dominating function on a graph $G$ is a function $f : V (G) \to {0, 1, 2}$ such that every vertex $v$ with $f (v) = 0$ is adjacent to some vertex $u$ with $f (u) = 2$ ,…

math.CO2019★ 3 cited

Total Roman Domination Edge-Critical Graphs

C. Lampman, C. M. Mynhardt, S. E. A. Ogden

A total Roman dominating function on a graph $G$ is a function such that every vertex $v$ with $f (v) = 0$ is adjacent to some vertex $u$ with $f (u) = 2$ …