## 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
Spanning trees fixed by automorphisms of a graph
β Scribed by M. Kano; A. Sakamoto
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 223 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0012-365X
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β¦ Synopsis
Let G be a finite graph and A be a subgroup of Aut(G). We give a necessary and sufficient condition for the graph G to have an A-invariant spanning tree.
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