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The strong isometric dimension of graphs of diameter two
Janja Jerebic, Sandi Klavžar, 2003

Abstract: Krepka izometrična dimenzija ▫$textrm{idim}(G)$▫ grafa ▫$G$▫ je najmanjše število ▫$k$▫, za katero lahko ▫$G$▫ izometrično vložimo v krepki produkt ▫$k$▫ poti. Problem določitve ▫$textrm{idim}(G)$▫ za grafe premera dva je reduciran na problem pokrivanja komplementa grafa ▫$G$▫ s polnimi dvodelnimi grafi. Za primer je pokazano, da je izometrična dimenzija Petersenovega grafa enaka 5.
Keywords: matematika, teorija grafov, izometrični podgraf, krepki produkt grafov, premer grafa, krepka izometrična dimenzija, Petersenov graf, mathematics, graph theory, isometric subgraph, strong product of graphs, graph diameter, strong isometric dimension, Petersen graph
Published: 10.07.2015; Views: 405; Downloads: 17
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