| Naslov: | Domination of subcubic planar graphs with large girth |
|---|
| Avtorji: | ID Cho, Eun-Kyung (Avtor)
ID Culver, Eric (Avtor)
ID Hartke, Stephen G. (Avtor)
ID Iršič Chenoweth, Vesna (Avtor) |
|---|
| Datoteke: |  AMC_Cho,_Culver,_G._Hartke,_Irsic_Chenoweth_2026.pdf (635,04 KB)
MD5: D88CEF05F194BCF47F536A07C6B0A442
|
|---|
| Jezik: | Angleški jezik |
|---|
| Vrsta gradiva: | Članek v reviji |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: | ZUP - Založba Univerze na Primorskem
|
|---|
| Opis: | Since Reed conjectured in 1996 that the domination number of a connected cubic graph of order n is at most ⌈1/3n⌉, the domination number of cubic graphs has been extensively studied. It is now known that the conjecture is false in general, but Henning and Dorbec showed that it holds for graphs with girth at least 9. Zhu and Wu stated an analogous conjecture for 2-connected cubic planar graphs.
In this paper, we present a new upper bound for the domination number of subcubic planar graphs: if G is a subcubic planar graph with girth at least 8, then γ(G) < n₀ + 3/4 n₁ + 11/20 n₂ + 7/20 n₃, where n_i denotes the number of vertices in G of degree i, for i ∈ {0, 1, 2, 3}. We also prove that if G is a subcubic planar graph with girth at least 9, then γ(G) < n₀ + 13/17 n₁ + 9/17 n₂ + 6/17 n₃. |
|---|
| Ključne besede: | domination, subcubic planar graph, upper bound |
|---|
| Status publikacije: | Objavljeno |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Datum objave: | 18.03.2026 |
|---|
| Založnik: | Založba Univerze na Primorskem |
|---|
| Leto izida: | 2026 |
|---|
| Št. strani: | 32 str. |
|---|
| Številčenje: | Vol. 26, no. 2, [article no.] P2.08 |
|---|
| PID: | 20.500.12556/RUP-23438  |
|---|
| UDK: | 51 |
|---|
| eISSN: | 1855-3974 |
|---|
| DOI: | 10.26493/1855-3974.3389.86c |
|---|
| Datum objave v RUP: | 11.08.2026 |
|---|
| Število ogledov: | 73 |
|---|
| Število prenosov: | 1 |
|---|
| 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. |
