A new infinite family of star normal quotient graphs of twisted wreath type

We construct the first infinite families of locally 2-arc transitive graphs with the property that the automorphism group has two orbits on vertices and is quasiprimitive on exactly one orbit, of twisted wreath type. This work contributes to Giudici, Li and Praeger’s program for the classification o...

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Detalles Bibliográficos
Autores principales: Kaja, Eda, Morgan, Luke
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10115705/
https://www.ncbi.nlm.nih.gov/pubmed/37092124
http://dx.doi.org/10.1007/s10801-022-01189-0
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author Kaja, Eda
Morgan, Luke
author_facet Kaja, Eda
Morgan, Luke
author_sort Kaja, Eda
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description We construct the first infinite families of locally 2-arc transitive graphs with the property that the automorphism group has two orbits on vertices and is quasiprimitive on exactly one orbit, of twisted wreath type. This work contributes to Giudici, Li and Praeger’s program for the classification of locally 2-arc transitive graphs by showing that the star normal quotient twisted wreath category also contains infinitely many graphs.
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spelling pubmed-101157052023-04-21 A new infinite family of star normal quotient graphs of twisted wreath type Kaja, Eda Morgan, Luke J Algebr Comb (Dordr) Article We construct the first infinite families of locally 2-arc transitive graphs with the property that the automorphism group has two orbits on vertices and is quasiprimitive on exactly one orbit, of twisted wreath type. This work contributes to Giudici, Li and Praeger’s program for the classification of locally 2-arc transitive graphs by showing that the star normal quotient twisted wreath category also contains infinitely many graphs. Springer US 2022-12-29 2023 /pmc/articles/PMC10115705/ /pubmed/37092124 http://dx.doi.org/10.1007/s10801-022-01189-0 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Kaja, Eda
Morgan, Luke
A new infinite family of star normal quotient graphs of twisted wreath type
title A new infinite family of star normal quotient graphs of twisted wreath type
title_full A new infinite family of star normal quotient graphs of twisted wreath type
title_fullStr A new infinite family of star normal quotient graphs of twisted wreath type
title_full_unstemmed A new infinite family of star normal quotient graphs of twisted wreath type
title_short A new infinite family of star normal quotient graphs of twisted wreath type
title_sort new infinite family of star normal quotient graphs of twisted wreath type
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10115705/
https://www.ncbi.nlm.nih.gov/pubmed/37092124
http://dx.doi.org/10.1007/s10801-022-01189-0
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