Dragan Marušič (Avtor), Primož Šparl (Avtor)

Povzetek

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

matematika;teorija grafov;metacikličen graf;poltranzitiven graf;tesno speti grafi;grupa avtomorfizmov;mathematics;graph theory;metacirculant graph;half-arc-transitive graph;tightly attached;automorphism group;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 519.17
COBISS: 14625113 Povezava se bo odprla v novem oknu
ISSN: 0925-9899
Št. ogledov: 3622
Št. prenosov: 132
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Angleški jezik
Sekundarne ključne besede: matematika;teorija grafov;metacikličen graf;poltranzitiven graf;tesno speti grafi;grupa avtomorfizmov;
Vrsta dela (COBISS): Delo ni kategorizirano
Strani: str. 365-395
Letnik: ǂVol. ǂ28
Zvezek: ǂno. ǂ3
Čas izdaje: 2008
DOI: 10.1007/s10801-007-0107-y
ID: 1473510
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