On the structure of consistent cycles in cubic symmetric graphs

Kutnar, Klavdija (author), Marušič, Dragan (author), Miklavič, Štefko (author), Šparl, Primož (author)

A cycle in a graph is consistent if the automorphism group of the graph admits a one‐step rotation of this cycle. A thorough description of consistent cycles of arc‐transitive subgroups in the full automorphism groups of finite cubic symmetric graphs is given.

• Language: English
• Keywords: 1/2‐consistent cycle, automorphism, consistent cycle, cubic symmetric graph, shunt, $s$‐regular graph
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: Str. 337–356
• Numbering: Vol. 105, iss. 3
• PID: 20.500.12556/RUL-154005
• UDC: 51
• ISSN on article: 1097-0118
• DOI: 10.1002/jgt.23041
• COBISS.SI-ID: 167576323
• Publication date in RUL: 18.01.2024

Record is a part of a journal

• Title: Journal of graph theory
• Shortened title: J. graph theory
• Publisher: Wiley
• ISSN: 1097-0118
• COBISS.SI-ID: 512820249

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: 1/2-konsistentni cikel, avtomorfizem, konsistentni cikel, $s$-regularni graf, kubični simetrični graf