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arXiv · 2409.11092

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

Rachel Barber·Ted Dobson·Gregory Robson
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Abstract

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 empty graphs, and show that their automorphism groups can be obtained from their natural irreducible quotients. We then show that such digraphs can be recognized from their connection sets.

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Rachel Barber, Ted Dobson, Gregory Robson. 2024-09-17. Recognizing bicoset digraphs which are $X$-joins and automorphism groups of bicoset digraphs. https://arxiv.org/abs/2409.11092

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