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On domination numbers of Cartesian product of paths

✍ Scribed by Sylvain Gravier; Michel Mollard


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
234 KB
Volume
80
Category
Article
ISSN
0166-218X

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✦ Synopsis


We show the link between the existence of perfect Lee codes and minimum dominating sets of Cartesian products of paths and cycles. From the existence of such a code we deduce the asymptotical values of the domination numbers of these graphs.


πŸ“œ SIMILAR VOLUMES


Dominating Cartesian products of cycles
✍ Sandi KlavΕΎar; Norbert Seifter πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 578 KB
Cartesian products of trees and paths
✍ Bandelt, Hans-JοΏ½rgen; Burosch, Gustav; Laborde, Jean-Marie πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 581 KB

We characterize the (weak) Cartesian products of trees among median graphs by a forbidden 5-vertex convex subgraph. The number of tree factors (if finite) is half the length of a largest isometric cycle. Then a characterization of Cartesian products of n trees obtains in terms of isometric cycles an