On quartic half-arc-transitive metacirculants
| dc.creator | Marusic, Dragan | |
| dc.creator | Sparl, Primoz | |
| dc.date | 2007-02-07 | |
| dc.date.accessioned | 2026-07-07T07:45:20Z | |
| dc.date.available | 2026-07-07T07:45:20Z | |
| dc.description | Following Alspach and Parsons, a {\em metacirculant graph} is a graph admitting a transitive group generated by two automorphisms $ρ$ and $σ$, where $ρ$ is $(m,n)$-semiregular for some integers $m \geq 1$, $n \geq 2$, and where $σ$ normalizes $ρ$, cyclically permuting the orbits of $ρ$ in such a way that $σ^m$ has at least one fixed vertex. A {\em 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. | |
| dc.description | 31 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0702183 | |
| dc.identifier | http://arxiv.org/abs/math/0702183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123499 | |
| dc.subject | Combinatorics | |
| dc.subject | 05C25 | |
| dc.title | On quartic half-arc-transitive metacirculants | |
| dc.type | text |