Counting spanning trees in a small-world Farey graph
β Scribed by Zhongzhi Zhang; Bin Wu; Yuan Lin
- Book ID
- 113849428
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 244 KB
- Volume
- 391
- Category
- Article
- ISSN
- 0378-4371
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π SIMILAR VOLUMES
A k-tree is either a complete graph on k vertices or a graph T that contains a vertex whose neighbourhood in T induces a complete graph on k vertices and whose removal results in a k-tree. A subgraph of a graph is a spanning k-tree if it is a k-tree and contains every vertex of the graph. This pape
## Abstract Motivated by the observation that the sparse treeβlike 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
A new calculation is given for the number of spanning trees in a family of labellec; graphs considered by Kleitman and Golden, and for a more general class of such graphs.