| Naslov: | Semiregular automorphisms of vertex-transitive graphs of certain valencies |
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| Avtorji: | ID Dobson, Edward (Avtor)
ID Malnič, Aleksander (Avtor)
ID Marušič, Dragan (Avtor)
ID Nowitz, Lewis A. (Avtor) |
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| Datoteke: |  http://dx.doi.org/10.1016/j.jctb.2006.06.004
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Delo ni kategorizirano |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | IAM - Inštitut Andrej Marušič
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| Opis: | It is shown that a vertex-transitive graph of valency ▫$p+1$▫, ▫$p$▫ a prime, admitting a transitive action of a ▫$\{2,p\}$▫-group, has a non-identity semiregular automorphism. As a consequence, it is proved that a quartic vertex-transitive graph has a non-identity semiregular automorphism, thus giving a partial affirmative answer to the conjecture that all vertex-transitive graphs have such an automorphism and, more generally, that all 2-closed transitive permutation groups contain such an element (see [D. Marušic, On vertex symmetric digraphs, Discrete Math. 36 (1981) 69-81; P.J. Cameron (Ed.), Problems from the Fifteenth British Combinatorial Conference, Discrete Math. 167/168 (1997) 605-615]). |
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| Ključne besede: | mathematics, graph theory, transitive permutation group, 2-closed group, semiregular automorphism, vertex-transitive graph |
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| Leto izida: | 2007 |
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| Št. strani: | str. 371-380 |
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| Številčenje: | Vol. 97, iss. 3 |
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| PID: | 20.500.12556/RUP-7722  |
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| ISSN: | 0095-8956 |
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| UDK: | 519.17:512.54 |
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| COBISS.SI-ID: | 14287961 |
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| Datum objave v RUP: | 02.04.2017 |
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| Število ogledov: | 2868 |
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| Število prenosov: | 88 |
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| Metapodatki: |    |
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