FMF, Mathematical Library, Lj. (MAKLJ)
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Graphs with equal Grundy domination and independence numberBacsó, Gábor, matematik ...Grundyjevo dominantno število, ▫${\gamma_{\rm gr}}(G)$▫, grafa ▫$G$▫ je dolžina najdaljšega takega zaporedja ▫$(v_1,v_2,\ldots, v_k)$▫ vozlišč grafa ▫$G$▫, v katerem za vsak ▫$i\in \{2,\ldots, k\}$▫, ... zaprta soseščina ▫$N[v_i]$▫ vsebuje vozlišče, ki ne pripada nobeni množici ▫$N[v_j]$▫, kjer je ▫$j<i$▫. Znano je, da je Grundyjevo dominantno število v vsakem grafu ▫$G$▫ večje ali enako njegovemu zgornjemu dominantnem številu ▫$\Gamma(G)$▫, ki je nadalje večje ali enako od njegovega neodvisnostnega števila ▫$\alpha(G)$▫. V članku začnemo z raziskavami razreda grafov ▫$G$▫ z lastnostjo ▫$\Gamma(G)={\gamma_{\rm gr}}(G)$▫ in njegovega podrazreda tistih grafov ▫$G$▫, za katere velja ▫$\alpha(G)={\gamma_{\rm gr}}(G)$▫. Slednji razred grafov okarakteriziramo znotraj vseh povezanih grafov brez dvojčkov, predstavimo številne lastnosti tega razreda grafov in dokažemo, da mu pripadajo tudi hiperkocke. Nenazadnje podamo tudi potrebne pogoje, ki jim morajo zadoščati grafi ▫$G$▫ z lastnostjo ▫$\Gamma(G)={\gamma_{\rm gr}}(G)$▫ in predstavimo velike družine takih grafov.Source: Discrete optimization. - ISSN 1572-5286 (Vol. 48, iss. 2, May 2023, art. 100777 (15 str.))Type of material - article, component part ; adult, seriousPublish date - 2023Language - englishCOBISS.SI-ID - 154012931
Author | Bacsó, Gábor, matematik ... |
Title | Graphs with equal Grundy domination and independence number |
Publication date | 2023-05-29 |
COBISS.SI-ID | 154012931 |
Publication version in repository | Publisher's version |
Publication licence | Creative Commons Attribution 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 |
|
Prirejanja in barvanja povezav v kubičnih grafih | J1-3002-2021 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
|
Drevesno neodvisnostno število grafov | J1-4008-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
Files that belong to the publication
Link |
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https://www.sciencedirect.com/science/article/pii/S1572528623000191 |
https://dirros.openscience.si/IzpisGradiva.php?id=18642 |
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Bacsó, Gábor, matematik | |
Brešar, Boštjan | 17005 |
Kuenzel, Kirsti | |
Rall, Douglas F. |
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