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On the total {k}-domination number of Cartesian products of graphs

โœ Scribed by Ning Li; Xinmin Hou

Publisher
Springer US
Year
2008
Tongue
English
Weight
261 KB
Volume
18
Category
Article
ISSN
1382-6905

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๐Ÿ“œ SIMILAR VOLUMES

On the domination number of cross produc
On the domination number of cross products of graphs
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In this communication the domination number of the cross product of an elementary path with the complement of another path is exactly determined and some inequalities for general cases are deduced. The paper ends with a Vizing-like conjecture relating the domination number of the cross product of G

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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.