Ted Dobson

activity

20242026

collaborators

Showing math.COShow all

3 papers · 1 filter

math.CO2026

CI-groups for ternary structures

Ted Dobson, Joy Morris, Mikhail Muzychuk +1

We explicitly determine all CI-groups with respect to ternary relational structures that have the form $C \times D$ , where $C$ is cyclic and $D$ is either a dicyclic group whose or…

math.CO2025

On cubic vertex-transitive graphs of given girth

Ted Dobson, Ademir Hujdurović, Wilfried Imrich +1

A set of vertices of a graph is distinguishing if the only automorphism that preserves it is the identity. The minimal size of such sets, if they exist, is the distinguishing cost.…

math.CO2024

Groups with elements of order 8 do not have the DCI property

Ted Dobson, Joy Morris, Pablo Spiga

Let $k$ be odd, and $n$ an odd multiple of $3$ . We prove that $C_{k} ⋊ C_{8}$ and $(C_{n} \times C_{3}) ⋊ C_{8}$ do not have the Directed Cayley Isomorphism (DCI) property. When $…