The problem is to determine the linear graph that has the maximum number of spanning trees, where only the number of nodes N and the number of branches B are prescribed. We deal with connected graphs G(N, B) obtained by deleting D branches from a complete graph KN. Our solution is for D less than or
β¦ LIBER β¦
On the complexity of finding multi-constrained spanning trees
β Scribed by P.M. Camerini; G. Galbiati; F. Maffioli
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 602 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0166-218X
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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