Random spanning tree
✍ Scribed by A Guénoche
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 263 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The N-cube is a graph with 2 N vertices and N 2 Ny1 edges. Suppose indepen- dent uniform random edge weights are assigned and let T be the spanning tree of minimal Ž . y 1 N ϱ y3 total weight. Then the weight of T is asymptotic to N 2 Ý i as N ª ϱ. Asymp-is1 totics are also given for the local stru
## Abstract Motivated by the observation that the sparse tree‐like subgraphs in a small world graph have large diameter, we analyze random spanning trees in a given host graph. We show that the diameter of a random spanning tree of a given host graph __G__ is between and with high probability., w