| Title: | Dominating direct products of graphs |
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| Authors: | ID Brešar, Boštjan (Author)
ID Klavžar, Sandi (Author)
ID Rall, Douglas F. (Author) |
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| Files: |  http://dx.doi.org/10.1016/j.disc.2006.09.013
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FERI - Faculty of Electrical Engineering and Computer Science
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| Abstract: | Dokazana je zgornja meja za dominantno število direktnega produkta grafov. V posebnem primeru iz meje sledi, da za poljubna grafa ▫$G$▫ in ▫$H$▫ velja ▫$gamma (G times H) le 3gamma(G)gamma(H)$▫. Konstruirani so grafi s poljubno velikimi dominantnimi števili, za katere je ta meja dosežena. Za gornje dominantno število dokažemo, da velja ▫$Gamma(G times H) ge Gamma(G)Gamma(H)$▫, s čimer je potrjena domneva iz [R. Nowakowski, D.F. Rall, Associative graph products and their independence, domination and coloring numbers, Discuss. Math. Graph Theory 16 (1996) 53-79]. Nazadnje za dominacijo v parih direktnih produktov dokažemo, da za poljubna grafa ▫$G$▫ in ▫$H$▫ velja ▫$gamma_{rm{pr}}(G times H) le gamma_{rm{pr}} (G)gamma_{rm{pr}}(H)$▫. Predstavimo tudi neskončne družine grafov, pri katerih je ta meja dosežena. |
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| Keywords: | matematika, teorija grafov, dominacija, dominacija v parih, gornja dominacija, kartezični produkt grafov, mathematics, graph theory, domination, paired-domination, upper domination, direct product |
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| Year of publishing: | 2007 |
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| Number of pages: | str. 1636-1642 |
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| Numbering: | Vol. 307, iss. 13 |
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| PID: | 20.500.12556/DKUM-51595  |
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| UDC: | 519.17 |
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| ISSN on article: | 0012-365X |
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| COBISS.SI-ID: | 14286937 |
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| NUK URN: | URN:SI:UM:DK:6FX9XHHM |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1461 |
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| Downloads: | 102 |
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| Metadata: |    |
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| Categories: | Misc.
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