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Naslov:On quartic half-arc-transitive metacirculants
Avtorji:Marušič, Dragan (Avtor)
Šparl, Primož (Avtor)
Datoteke:URL http://dx.doi.org/10.1007/s10801-007-0107-y
 
Jezik:Angleški jezik
Vrsta gradiva:Delo ni kategorizirano
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:IAM - Inštitut Andrej Marušič
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.
Ključne besede:mathematics, graph theory, metacirculant graph, half-arc-transitive graph, tightly attached, automorphism group
Leto izida:2008
Št. strani:str. 365-395
Številčenje:Vol. 28, no. 3
ISSN:0925-9899
UDK:519.17
COBISS_ID:14625113 Povezava se odpre v novem oknu
Število ogledov:1636
Število prenosov:57
Metapodatki:XML RDF-CHPDL DC-XML DC-RDF
Področja:Gradivo ni uvrščeno v področja.
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Skupna ocena:(0 glasov)
Vaša ocena:Ocenjevanje je dovoljeno samo prijavljenim uporabnikom.
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Sekundarni jezik

Jezik:Angleški jezik
Ključne besede:matematika, teorija grafov, metacikličen graf, poltranzitiven graf, tesno speti grafi, grupa avtomorfizmov

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