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Vizing's conjecture for graphs with domination number 3 - a new proof [Elektronski vir]Brešar, BoštjanVizingova domneva iz leta 1968 trdi, da je dominantno število kartezičnega produkta dveh grafov vsaj tolikšno kot produkt njunih dominantnih števil. V tem prispevku uporabimo nov, pregleden pristop ... za dokaz Vizingove domneve za grafe z dominantnim številom 3; natančneje povedano, dokažemo, da za vsak graf ▫$G$▫, za katerega velja ▫$\gamma(G)=3$▫ in poljuben graf ▫$H$▫, velja neenakost ▫$\gamma(G\Box H)\ge 3\gamma(H)$▫.Source: The Electronic journal of combinatorics [Elektronski vir]. - ISSN 1077-8926 (Vol. 22, iss. 3, 2015, P3.38 (8 str.))Type of material - e-articlePublish date - 2015Language - englishCOBISS.SI-ID - 17453401
Author
Brešar, Boštjan
Topics
teorija grafov |
kartezični produkt |
dominacija |
Vizingova domneva |
graph theory |
Cartesian product |
domination |
Vizing's conjecture
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Brešar, Boštjan | 17005 |
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