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Presentations for vertex-transitive graphs

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.

Detalles Bibliográficos
Autores principales: Georgakopoulos, Agelos, Wendland, Alex
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9075864/
https://www.ncbi.nlm.nih.gov/pubmed/35535236
http://dx.doi.org/10.1007/s10801-021-01070-6
Descripción
Sumario: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.