Ted Dobson

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math.CO2024

On the BCI Problem

Ted Dobson, Gregory Robson

Let $G$ be a group. The BCI problem asks whether two Haar graphs of $G$ are isomorphic if and only if they are isomorphic by an element of an explicit list of isomorphisms. We firs…

math.CO2024

Recognizing bicoset digraphs which are $X$ -joins and automorphism groups of bicoset digraphs

Rachel Barber, Ted Dobson, Gregory Robson

We examine bicoset digraphs and their natural properties from the point of view of symmetry. We then consider connected bicoset digraphs that are $X$ -joins with collections of empt…

math.CO2024

Finding automorphism groups of double coset graphs and Cayley graphs are equivalent

Rachel Barber, Ted Dobson

It has long been known that a vertex-transitive graph $I^$ is isomorphic to a double coset graph $Cos (G, H, S)$ of a transitive group $G \leq Aut (I^)$ , a vertex stabilizer…

On the BCI Problem

Recognizing bicoset digraphs which are X-joins and automorphism groups of bicoset digraphs

Finding automorphism groups of double coset graphs and Cayley graphs are equivalent

Recognizing bicoset digraphs which are $X$ -joins and automorphism groups of bicoset digraphs