| Naslov: | Edge-transitive lexicographic and cartesian products |
|---|
| Avtorji: | ID Imrich, Wilfried (Avtor)
ID Iranmanesh, Ali (Avtor)
ID Klavžar, Sandi (Avtor)
ID Soltani, Abolghasem (Avtor) |
|---|
| Datoteke: |  Discussiones_Mathematicae_Graph_Theory_2016_Imrich_et_al._Edge-transitive_lexicographic_and_Cartesian_products.pdf (150,33 KB)
MD5: 69CDEAAAF474E8D160D243D46BBD6A32
 http://www.discuss.wmie.uz.zgora.pl/gt/index.php?doi=10.7151/dmgt.1892
|
|---|
| Jezik: | Angleški jezik |
|---|
| Vrsta gradiva: | Znanstveno delo |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: | FNM - Fakulteta za naravoslovje in matematiko
|
|---|
| Opis: | In this note connected, edge-transitive lexicographic and Cartesian products are characterized. For the lexicographic product ▫$G \circ H$▫ of a connected graph ▫$G$▫ that is not complete by a graph ▫$H$▫, we show that it is edge-transitive if and only if ▫$G$▫ is edge-transitive and ▫$H$▫ is edgeless. If the first factor of ▫$G \circ H$▫ is non-trivial and complete, then ▫$G \circ H$▫ is edge-transitive if and only if ▫$H$▫ is the lexicographic product of a complete graph by an edgeless graph. This fixes an error of Li, Wang, Xu, and Zhao (Appl. Math. Lett. 24 (2011) 1924--1926). For the Cartesian product it is shown that every connected Cartesian product of at least two non-trivial factors is edge-transitive if and only if it is the Cartesian power of a connected, edge- and vertex-transitive graph. |
|---|
| Ključne besede: | edge-transitive graph, vertex-transitive graph, lexicographic product of graphs, Cartesian product of graphs |
|---|
| Status publikacije: | Objavljeno |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Poslano v recenzijo: | 16.04.2015 |
|---|
| Datum sprejetja članka: | 29.12.2015 |
|---|
| Datum objave: | 29.12.2015 |
|---|
| Založnik: | University of Zielona Góra |
|---|
| Leto izida: | 2016 |
|---|
| Št. strani: | Str. 857-865 |
|---|
| Številčenje: | Letn. 36, št. 4 |
|---|
| PID: | 20.500.12556/DKUM-65337  |
|---|
| ISSN: | 1234-3099 |
|---|
| UDK: | 519.17 |
|---|
| COBISS.SI-ID: | 17777241 |
|---|
| ISSN pri članku: | 1234-3099 |
|---|
| NUK URN: | URN:SI:UM:DK:HWK1G8VH |
|---|
| Datum objave v DKUM: | 31.03.2017 |
|---|
| Število ogledov: | 1198 |
|---|
| Število prenosov: | 464 |
|---|
| Metapodatki: |    |
|---|
| Področja: | Ostalo
|
|---|
|
:
|
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. |
