The Number of Spanning Trees in Self-Similar Graphs
โ Scribed by Elmar Teufl; Stephan Wagner
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 422 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0218-0006
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๐ SIMILAR VOLUMES
Let 3:; denote the set of simple graphs with n vertices and m edges, t ( G ) the number of spanning trees of a graph G , and F 2 H if t(K,\E(F))?t(K,\E(H)) for every s? max{u(F), u ( H ) } . We give a complete characterization of >-maximal (maximum) graphs in 3:; subject to m 5 n . This result conta
In this paper, we present some sharp upper bounds for the number of spanning trees of a connected graph in terms of its structural parameters such as the number of vertices, the number of edges, maximum vertex degree, minimum vertex degree, connectivity and chromatic number.
A rccenl theorem due to W'aller is applied to the mokculnr gmph of a typical conjugtcd system (naphthalene) in order to demonstrate the enumeration of spanning trees, on each of which a "ring current" calculation may be based.