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Edge-transitive embeddings of complete graphs

Edge-transitive embeddings of complete graphs
Edge-transitive embeddings of complete graphs

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.

Biggs map, Complete graph, Edge-transitive map, James map
Jones, Gareth A.
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Jones, Gareth A.
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5

Jones, Gareth A. (2021) Edge-transitive embeddings of complete graphs. Art of Discrete and Applied Mathematics, 4 (3). (doi:10.26493/2590-9770.1314.f6d).

Record type: Article

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.

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Edge-transitive embeddings of complete graphs - Accepted Manuscript
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More information

Accepted/In Press date: 14 April 2020
Published date: 13 August 2021
Keywords: Biggs map, Complete graph, Edge-transitive map, James map

Identifiers

Local EPrints ID: 469305
URI: http://eprints.soton.ac.uk/id/eprint/469305
PURE UUID: 8d44acd2-1f14-41f7-aa3b-407cae6e8f8b

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Date deposited: 13 Sep 2022 16:40
Last modified: 16 Mar 2024 21:45

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Contributors

Author: Gareth A. Jones

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