| Naslov: | Maximum independent sets in direct products of cycles or trees with arbitrary graphs |
|---|
| Avtorji: | ID Paj Erker, Tjaša (Avtor)
ID Špacapan, Simon (Avtor) |
|---|
| Datoteke: |  Discussiones_Mathematicae_Graph_Theory_2015_Paj,_Spacapan_Maximum_independent_sets_in_direct_products_of_cycles_or_trees_with_arbitrary.pdf (173,48 KB)
MD5: CB90C497C923333F607088283AF35010
 http://www.discuss.wmie.uz.zgora.pl/gt/index.php?doi=10.7151/dmgt.1837
|
|---|
| Jezik: | Angleški jezik |
|---|
| Vrsta gradiva: | Znanstveno delo |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: | FS - Fakulteta za strojništvo
|
|---|
| Opis: | The direct product of graphs ▫$G = (V(G),E(G))$▫ and ▫$H = (V(H),E(H))$▫ is the graph, denoted as ▫$G \times H$▫, with vertex set ▫$V(G \times H) = V(G )\times V(H)$▫, where vertices ▫$(x_1,y_1)$▫ and ▫$(x_2,y_2)$▫ are adjacent in ▫$G \times H$▫ if ▫$x_1x_2 \in E(G)$▫ and ▫$y_1y_2 \in E(H)$▫. Let ▫$n$▫ be odd and ▫$m$▫ even. We prove that every maximum independent set in ▫$P_n \times G$▫, respectively ▫$C_m \times G$▫, is of the form ▫$(A \times C) \cup (B \times D)$▫, where ▫$C$▫ and ▫$D$▫ are nonadjacent in ▫$G$▫, and ▫$A \cup B$▫ is the bipartition of ▫$P_n$▫ respectively ▫$C_m$▫. We also give a characterization of maximum independent subsets of ▫$P_n \times G$▫ for every even ▫$n$▫ and discuss the structure of maximum independent sets in ▫$T \times G$▫ where ▫$T$▫ is a tree. |
|---|
| Ključne besede: | direct product, independent set |
|---|
| Status publikacije: | Objavljeno |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Leto izida: | 2015 |
|---|
| Št. strani: | str. 675-688 |
|---|
| Številčenje: | Letn. 35, št. 4 |
|---|
| PID: | 20.500.12556/DKUM-65476  |
|---|
| ISSN: | 1234-3099 |
|---|
| UDK: | 519.17 |
|---|
| COBISS.SI-ID: | 17610841 |
|---|
| ISSN pri članku: | 1234-3099 |
|---|
| NUK URN: | URN:SI:UM:DK:Q8DUGYUA |
|---|
| Datum objave v DKUM: | 07.04.2017 |
|---|
| Število ogledov: | 1630 |
|---|
| Število prenosov: | 555 |
|---|
| 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. |
