On the Length of a Random Minimum Spanning Tree
نویسندگان
چکیده
We study the expected value of the length Ln of the minimum spanning tree of the complete graph Kn when each edge e is given an independent uniform [0, 1] edge weight. We sharpen the result of Frieze [6] that limn→∞ E(Ln) = ζ(3) and show that E(Ln) = ζ(3) + c1 n + c2+o(1) n4/3 where c1, c2 are explicitly defined constants.
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عنوان ژورنال:
- Combinatorics, Probability & Computing
دوره 25 شماره
صفحات -
تاریخ انتشار 2016