A Note on Random Minimum Length Spanning Trees
نویسندگان
چکیده
Consider a connected r-regular n-vertex graph G with random independent edge lengths, each uniformly distributed on [0, 1]. Let mst(G) be the expected length of a minimum spanning tree. We show in this paper that if G is sufficiently highly edge connected then the expected length of a minimum spanning tree is ∼ nr ζ(3). If we omit the edge connectivity condition, then it is at most ∼ nr (ζ(3) + 1).
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 7 شماره
صفحات -
تاریخ انتشار 2000