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Title:Odd automorphisms in vertex-transitive graphs
Authors:ID Hujdurović, Ademir (Author)
ID Kutnar, Klavdija (Author)
ID Marušič, Dragan (Author)
Files:.pdf RAZ_Hujdurovic_Ademir_i2016.pdf (281,25 KB)
MD5: 7500C82FD61C5212FB47F74B2F69415D
 
Language:English
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:ZUP - University of Primorska Press
Abstract:An automorphism of a graph is said to be even/odd if it acts on the set of vertices as an even/odd permutation. In this article we pose the problem of determining which vertex-transitive graphs admit odd automorphisms. Partial results for certain classes of vertex-transitive graphs, in particular for Cayley graphs, are given. As a consequence, a characterization of arc-transitive circulants without odd automorphisms is obtained.
Keywords:graph, vertex-transitive, automorphism group, even permutation, odd permutation
Year of publishing:2016
Number of pages:str. 427-437
Numbering:Vol. 10, no. 2
PID:20.500.12556/RUP-8841 This link opens in a new window
UDC:519.17
ISSN on article:1855-3966
COBISS.SI-ID:1538542276 This link opens in a new window
Publication date in RUP:15.11.2017
Views:2177
Downloads:100
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Record is a part of a journal

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 This link opens in a new window

Secondary language

Language:Slovenian
Title:Lihi avtomorfizmi v točkovno-tranzitivnih grafih
Abstract:Avtomorfizem grafa se imenuje sod/lih, če deluje na množici vozlišč kot soda/liha permutacija. V tem članku zastavimo problem določitve tistih točkovno-tranzitivnih grafov, ki premorejo lihe avtomorfizme. Predstavimo delne rezultate za določene razrede točkovno-tranzitivnih grafov, med drugim za Cayleyjeve grafe. Kot posledico teh rezultatov dobimo karakterizacijo ločno-tranzitivnih cirkulantov brez lihih avtomorfizmov.


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