Peter J. Cameron

activity

20242026

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Showing 2025Show all

2 papers · 1 filter

math.GR2025

Endomorphism and automorphism graphs of finite groups

Midhuna V Ajith, Peter J Cameron, Mainak Ghosh +1

Let $G$ be a group. The directed endomorphism graph, $\dend(G)$ of $G$ is a directed graph with vertex set $G$ and there is a directed edge from the vertex $a$ to the vertex $b$ if…

math.CO2025

Perfect codes in Cayley graphs of abelian groups

Peter J. Cameron, Roro Sihui Yap, Sanming Zhou

A perfect code in a graph $Γ = (V, E)$ is a subset $C$ of $V$ such that no two vertices in $C$ are adjacent and every vertex in $V ∖ C$ is adjacent to exactly one vertex in…