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Cubic vertex-transitive graphs admitting automorphisms of large orderPotočnik, Primož, 1971- ; Toledo, Micael, matematikA connected graph of order ▫$n$▫ admitting a semiregular automorphism of order ▫$n/k$▫ is called a ▫$k$▫-multicirculant. Highly symmetric multicirculants of small valency have been extensively ... studied, and several classification results exist for cubic vertex- and arc-transitive multicirculants. In this paper, we study the broader class of cubic vertex-transitive graphs of order ▫$n$▫ admitting an automorphism of order ▫$n/3$▫ or larger that may not be semiregular. In particular, we show that any such graph is either a ▫$k$▫-multicirculant for some ▫$k \le 3$▫, or it belongs to an infinite family of graphs of girth ▫$6$▫.Source: Bulletin of the Malaysian Mathematical Sciences Society. - ISSN 0126-6705 (Vol. 46, iss. 4, July 2023, art. 133 (33 str.))Type of material - article, component part ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 155100675
Author | Potočnik, Primož, 1971- ; Toledo, Micael, matematik |
Title | Cubic vertex-transitive graphs admitting automorphisms of large order |
Publication date | 2023-06-07 |
COBISS.SI-ID | 155100675 |
Publication version in repository | Publisher's version |
Publication licence | Creative Commons Attribution 4.0 International |
Embargo | Immediate publication for public |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
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Računsko intenzivne metode v teoretičnem računalništvu, diskretni matematiki, kombinatorični optimizaciji ter numerični analizi in algebri z uporabo v naravoslovju in družboslovju | P1-0294-2020 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Simetrije, negibnost in prožnost grafov | N1-0216-2021 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
Files that belong to the publication
Link |
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https://link.springer.com/article/10.1007/s40840-023-01526-x |
https://dirros.openscience.si/IzpisGradiva.php?id=18433 |
https://repozitorij.uni-lj.si/IzpisGradiva.php?id=148031 |
source: Bulletin of the Malaysian Mathematical Sciences Society. - ISSN 0126-6705 (Vol. 46, iss. 4, July 2023, art. 133 (33 str.))
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Potočnik, Primož, 1971- | 18838 |
Toledo, Micael, matematik | 39104 |
Source: Personal bibliographies
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