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Paper detail

Characterising star-transitive and st(edge)-transitive graphs

Recent work of Lazarovich provides necessary and sufficient conditions on a graph L for there to exist a unique simply-connected (k,L)-complex. The two conditions are symmetry properties of the graph, namely star-transitivity and st(edge)-transitivity. In this paper we investigate star-transitive and st(edge)-transitive graphs by studying the structure of the vertex and edge stabilisers of such graphs. We also provide new examples of graphs that are both star-transitive and st(edge)-transitive.

preprint2013arXivOpen access
Michael GiudiciCai Heng LiAkos SeressAnne Thomas
math.COmath.GR
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Michael GiudiciCai Heng LiAkos SeressAnne Thomas

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