| Naslov: | On quartic half-arc-transitive metacirculants |
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| Avtorji: | ID Marušič, Dragan (Avtor)
ID Šparl, Primož (Avtor) |
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| Datoteke: |  http://dx.doi.org/10.1007/s10801-007-0107-y
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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: | Following Alspach and Parsons, a metacirculant graph is a graph admitting a transitive group generated by two automorphisms ▫$\rho$▫ and ▫$\sigma$▫, where ▫$\rho$▫ is ▫$(m,n)$▫-semiregular for some integers ▫$m \ge 1$▫, ▫$n \ge 2▫$, and where ▫$\sigma$▫ normalizes ▫$\rho$▫, cyclically permuting the orbits of ▫$\rho$▫ in such a way that ▫$\sigma^m$▫ has at least one fixed vertex. A half-arc-transitive graph is a vertex- and edge- but not arc-transitive graph. In this article quartic half-arc-transitive metacirculants are explored and their connection to the so called tightly attached quartic half-arc-transitive graphs is explored. It is shown that there are three essentially different possibilities for a quartic half-arc-transitive metacirculant which is not tightly attached to exist. These graphs are extensively studied and some infinite families of such graphs are constructed. |
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| Ključne besede: | mathematics, graph theory, metacirculant graph, half-arc-transitive graph, tightly attached, automorphism group |
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| Leto izida: | 2008 |
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| Št. strani: | str. 365-395 |
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| Številčenje: | Vol. 28, no. 3 |
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| PID: | 20.500.12556/RUP-1311  |
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| ISSN: | 0925-9899 |
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| UDK: | 519.17 |
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| COBISS.SI-ID: | 14625113 |
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| Datum objave v RUP: | 15.10.2013 |
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| Število ogledov: | 4537 |
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| Število prenosov: | 133 |
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| Metapodatki: |    |
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