On random minimum length spanning trees
โ Scribed by A. M. Frieze; C. J. H. McDiarmid
- Publisher
- Springer-Verlag
- Year
- 1989
- Tongue
- English
- Weight
- 446 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0209-9683
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๐ SIMILAR VOLUMES
In this paper, we introduce the problem of computing a minimum edge ranking spanning tree (MERST); i.e., find a spanning tree of a given graph G whose edge ranking is minimum. Although the minimum edge ranking of a given tree can be computed in polynomial time, we show that problem MERST is NP-hard.
We present an algorithm for counting the number of minimum weight spanning trees, based on the fact that the generating function for the number of spanning trees of a given graph, by weight, can be expressed as a simple determinant. For a graph with n vertices and m edges, our ลฝ ลฝ .. ลฝ . algorithm r