Vizing's Conjecture
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High Quality Content by WIKIPEDIA articles! In graph theory, Vizing's conjecture concerns a relation between the domination number and the cartesian product of graphs. This conjecture was first stated by Vadim G. Vizing (1968), and states that, if (G) denotes the minimum number of vertices in a dominating set for G, then (G H) (G) (H). Gravier & Khelladi (1995) conjectured a similar bound for the domination number of the tensor product of graphs, however a counterexample was found by Klav ar & Zmazek (1996). Since Vizing proposed his conjecture, many mathematicians have worked on it, with partial results described below. For a more detailed overview of these results, see Imrich & Klav ar (2000).
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786131195433
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131195433
- Format Fachbuch
- Titel Vizing's Conjecture
- Herausgeber Betascript Publishing
- Anzahl Seiten 96
- Genre Mathematik
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