Cubic vertex-transitive graphs admitting automorphisms of large order

(UL)

Cubic vertex-transitive graphs admitting automorphisms of large order

Potočnik, Primož, 1971- ; Toledo, Micael, matematik

A 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, serious

Publish date - 2023

Language - english

COBISS.SI-ID - 155100675

Link(s):
https://link.springer.com/article/10.1007/s40840-023-01526-x
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Author
Potočnik, Primož, 1971- | Toledo, Micael, matematik

Topics
cubic vertex-transitive graphs | multicirculants | automorphisms of large order

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
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
Simetrije, negibnost in prožnost grafov		N1-0216-2021	Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije

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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

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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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Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Potočnik, Primož, 1971-	18838
Toledo, Micael, matematik	39104

Source: Personal bibliographies and: SICRIS

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