On the Number of Leaves of a Euclidean Minimal Spanning Tree
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چکیده
Let Vk,n be the number of vertices of degree k in the Euclidean minimal spanning tree of Xi, 1 < i n, where the Xi are independent, absolutely continuous random variables with values in Rd. It is proved that n -Vkn converges with probability 1 to a constant ak,dIntermediate results provide information about how the vertex degrees of a minimal spanning tree change as points are added or deleted, about the decomposition of minimal spanning trees into probabilistically similar trees, and about the mean and variance of
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تاریخ انتشار 2008