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Georgakopoulos, Agelos and Wendland, Alex (2022) Presentations for vertex-transitive graphs. Journal of Algebraic Combinatorics, 55 . pp. 795-826. doi:10.1007/s10801-021-01070-6 ISSN 0925-9899.
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Official URL: http://dx.doi.org/10.1007/s10801-021-01070-6
Abstract
We generalise the standard constructions of a Cayley graph in terms of a group presentation by allowing some vertices to obey different relators than others. The resulting notion of presentation allows us to represent every vertex-transitive graph.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Cayley graphs, Vertex operator algebras, Presentations of groups (Mathematics) | ||||||||
| Journal or Publication Title: | Journal of Algebraic Combinatorics | ||||||||
| Publisher: | Springer New York LLC | ||||||||
| ISSN: | 0925-9899 | ||||||||
| Official Date: | May 2022 | ||||||||
| Dates: |
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| Volume: | 55 | ||||||||
| Page Range: | pp. 795-826 | ||||||||
| DOI: | 10.1007/s10801-021-01070-6 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 27 October 2021 | ||||||||
| Date of first compliant Open Access: | 27 October 2021 | ||||||||
| RIOXX Funder/Project Grant: |
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