| Naslov: | Arc-transitive cycle decompositions of tetravalent graphs |
|---|
| Avtorji: | ID Miklavič, Štefko (Avtor)
ID Potočnik, Primož (Avtor)
ID Wilson, Steve (Avtor) |
|---|
| Datoteke: |  http://dx.doi.org/10.1016/j.jctb.2008.01.005
|
|---|
| Jezik: | Angleški jezik |
|---|
| Vrsta gradiva: | Delo ni kategorizirano |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: | IAM - Inštitut Andrej Marušič
|
|---|
| 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. |
|---|
| Ključne besede: | mathematics, graph theory, cycle decomposition, automorphism group, consistent cycle, medial maps |
|---|
| Leto izida: | 2008 |
|---|
| Št. strani: | str. 1181-1192 |
|---|
| Številčenje: | Vol. 98, no. 6 |
|---|
| PID: | 20.500.12556/RUP-3883  |
|---|
| ISSN: | 0095-8956 |
|---|
| UDK: | 519.17 |
|---|
| COBISS.SI-ID: | 14627417 |
|---|
| Datum objave v RUP: | 15.10.2013 |
|---|
| Število ogledov: | 4328 |
|---|
| Število prenosov: | 86 |
|---|
| Metapodatki: |    |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Skupna ocena: | (0 glasov) |
|---|
| Vaša ocena: | Ocenjevanje je dovoljeno samo prijavljenim uporabnikom. |
|---|
| Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
