FMF, Mathematical Library, Lj. (MAKLJ)
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Orientable domination in product-like graphsAnderson, Sarah, matematika ...Orientabilno dominantno število, ▫${\rm DOM}(G)$▫, grafa ▫$G$▫ je največje dominantno število poljubne orientacije grafa ▫$G$▫. V tem članku število ▫${\rm DOM}(G)$▫ raziskujemo na različnih ... produktih grafov ter ob uporabi različnih operacij nad grafi. Za poljubno korono dveh grafov natanko določimo njeno orientabilno dominantno število, medtem ko za kartezični in leksikografski produkt grafov določimo ostre spodnje in zgornje meje. Rezultat Chartranda in soavtorjev (1996) razširimo tako, da določimo vrednosti ▫${\rm DOM}(K_{n_1,n_2,n_3})$▫, kjer so ▫$n_1, n_2$▫ in ▫$n_3$▫ poljubna naravna števila. Ob obravnavi orientabilnega dominantnega števila leksikografskih produktov grafov pridemo tudi do negativnega odgovor na vprašanje iz članka Brešarja in soavtorjev (2022), ki se nanaša na dominantno in pakirno število acikličnih usmerjenih grafov.Source: Discrete applied mathematics. - ISSN 0166-218X (Vol. 326, Feb. 2023, str. 62-69)Type of material - article, component part ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 135012355
Author
Anderson, Sarah, matematika |
Brešar, Boštjan |
Klavžar, Sandi |
Kuenzel, Kirsti |
Rall, Douglas F.
Topics
usmerjeni graf |
dominacija |
orientabilno dominantno število |
pakiranje |
grafovski produkt |
korona |
digraph |
domination |
orientable domination number |
packing |
graph product |
corona graph
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Author | Anderson, Sarah, matematika ... |
Title | Orientable domination in product-like graphs |
Publication date | 2022-12-01 |
COBISS.SI-ID | 135012355 |
Publication version in repository | Publisher's version |
Publication licence | Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International |
Embargo | Immediate publication for public |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
---|---|---|---|
Teorija grafov | P1-0297-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Strukturni, optimizacijski in algoritmični problemi v geometrijskih in topoloških predstavitvah grafov | J1-2452-2020 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Metrični problemi v grafih in hipergrafih | N1-0285-2023 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Prirejanja in barvanja povezav v kubičnih grafih | J1-3002-2021 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Anderson, Sarah, matematika | ![]() |
Brešar, Boštjan | 17005 |
Klavžar, Sandi | 05949 |
Kuenzel, Kirsti | ![]() |
Rall, Douglas F. | ![]() |
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