Domination numbers of grid graphs


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15 Sep Here, we use a similar technique to obtain the asymptotical values of the total domination number of grid graphs.

Moreover, we give the values.

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Domination numbers of grid graphs
Domination numbers of grid graphs

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Domination numbers of grid graphs
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15 Jan Let γ(Pm □ Cn) denote the domination number of the cylindrical grid graph formed by the Cartesian product of the graphs Pm, the path of.

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25 Feb A dominating set in a graph G is a subset of vertices S such that The first results on the domination number of grids were obtained about.

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Description:This is an open access article distributed under the Creative Commons Attribution License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Let denote the domination number of the cylindrical grid graph formed by the Cartesian product of the graphs , the path of length m, and the graph , the cycle of length n,. In this paper we propose methods to find the domination numbers of graphs of the form with and propose tight bounds on domination numbers of the graphs ,. Moreover, we provide rough bounds on domination numbers of the graphs , and. We also point out how domination numbers and minimum dominating sets are useful for wireless sensor networks.

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Views: 2803 Date: 2018-03-28 Favorited: 99 favorites

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