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The Expected Size of the Rule k Dominating Set

Jennie C. Hansen·Eric Schmutz
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Abstract

Rule k is a localized approximation algorithm that finds a small connected dominating set in a graph. We estimate the expected size of the Rule k dominating set for the model of random unit disk graphs constructed from n random points in an s_n by s_n square region of the plane.

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Jennie C. Hansen, Eric Schmutz. 2004-08-31. The Expected Size of the Rule k Dominating Set. https://arxiv.org/abs/cs/0408067

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