Edge-transitive embeddings of complete graphs

Gareth Aneurin Jones

doi:10.26493/2590-9770.1314.f6d

Gareth Aneurin Jones University of Southampton https://orcid.org/0000-0002-7082-7025

DOI: https://doi.org/10.26493/2590-9770.1314.f6d

Keywords: Edge-transitive map, complete graph, Biggs map, James map

Abstract

Building on earlier work of Biggs, James, Wilson and the author and on the Graver-Watkins description of the 14 classes of edge-transitive maps, we complete the classification of the edge-transitive embeddings of complete graphs, including those with non-empty boundary.