| Naslov: | Arc-transitive cycle decompositions of tetravalent graphs |
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| Avtorji: | ID Miklavič, Štefko (Avtor)
ID Potočnik, Primož (Avtor)
ID Wilson, Steve (Avtor) |
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| Datoteke: |  http://dx.doi.org/10.1016/j.jctb.2008.01.005
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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: | A cycle decomposition of a graph ▫$\Gamma$▫ is a set ▫$\mathcal{C}$▫ of cycles of ▫$\Gamma$▫ such that every edge of ▫$\Gamma$▫ belongs to exactly one cycle in ▫$\mathcal{C}$▫. Such a decomposition is called arc-transitive if the group of automorphisms of ▫$\Gamma$▫ that preserve setwise acts transitively on the arcs of ▫$\Gamma$▫. In this paper, we study arc-transitive cycle decompositions of tetravalent graphs. In particular, we are interested in determining and enumerating arc-transitive cycle decompositions admitted by a given arc-transitive tetravalent graph. Among other results we show that a connected tetravalent arc-transitive graph is either 2-arc-transitive, or is isomorphic to the medial graph of a reflexible map, or admits exactly one cycle structure. |
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| Ključne besede: | mathematics, graph theory, cycle decomposition, automorphism group, consistent cycle, medial maps |
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| Leto izida: | 2008 |
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| Št. strani: | str. 1181-1192 |
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| Številčenje: | Vol. 98, no. 6 |
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| PID: | 20.500.12556/RUP-3883  |
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| ISSN: | 0095-8956 |
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| UDK: | 519.17 |
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| COBISS.SI-ID: | 14627417 |
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| Datum objave v RUP: | 15.10.2013 |
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| Število ogledov: | 6516 |
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| Število prenosov: | 91 |
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| Metapodatki: |    |
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