Counting graphs with different numbers of spanning trees through the counting of prime partitions
โ Scribed by Jernej Azarija
- Book ID
- 126354014
- Publisher
- Springer
- Year
- 2014
- Tongue
- English
- Weight
- 109 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0011-4642
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
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
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