Two-arc-transitive two-valent digraphs of certain orders

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Title:	Two-arc-transitive two-valent digraphs of certain orders
Authors:	ID Berčič, Katja (Author) ID Potočnik, Primož (Author)
Files:	RAZ_Bercic_Katja_i2016.pdf (401,75 KB) MD5: C84A988E02D59371D07D957CE7EEDC86
Language:	English
Work type:	Unknown
Typology:	1.01 - Original Scientific Article
Organization:	ZUP - University of Primorska Press
Abstract:	The topic of this paper is digraphs of in-valence and out-valence 2 that admit a 2-arc-transitive group of automorphisms. We classify such digraphs that satisfy certain additional conditions on their order. In particular, a classification of those with order $kp$ or $kp^{2}$ where $k \leq 14$ and $p$ is a prime can be deduced from the results of this paper.
Keywords:	graph, digraph, arc-transitive, order
Year of publishing:	2016
Number of pages:	str. 127-146
Numbering:	Vol. 11, no. 1
PID:	20.500.12556/RUP-8321
UDC:	519.17
ISSN on article:	1855-3966
COBISS.SI-ID:	1538308036
Publication date in RUP:	08.08.2016
Views:	3049
Downloads:	121
Metadata:
:	BERČIČ, Katja and POTOČNIK, Primož, 2016, Two-arc-transitive two-valent digraphs of certain orders. Ars mathematica contemporanea [online]. 2016. Vol. 11, no. 1, p. 127–146. [Accessed 3 April 2025]. Retrieved from: https://repozitorij.upr.si/IzpisGradiva.php?lang=eng&id=8321 Copy citation

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Title:	Ars mathematica contemporanea
Publisher:	Društvo matematikov, fizikov in astronomov, Društvo matematikov, fizikov in astronomov, Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije
ISSN:	1855-3966
COBISS.SI-ID:	239049984

Language:	Slovenian
Title:	Dva-ločno-tranzitivni dvo-valentni digrafi določenih redov
Abstract:	Tema tega članka so digrafi vhodne in izhodne valence 2, ki dopuščajo 2-ločno-tranzitivno grupo avtomorfizmov. Klasificiramo takšne digrafe, ki zadoščajo določenim dodatnim pogojem glede njihovega reda. Tako je npr. mogoče s pomočjo rezultatov tega članka klasificirati tiste, ki imajo red $kp$ ali $kp^{2}$ , kjer je $k \leq 14$ in je $p$ praštevilo.

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