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Graphs with not too many spanning trees

✍ Scribed by Guoli Ding


Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
458 KB
Volume
25
Category
Article
ISSN
0028-3045

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πŸ“œ SIMILAR VOLUMES


Spanning trees with many leaves
✍ Guoli Ding; Thor Johnson; Paul Seymour πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 95 KB

## Abstract We show that if __G__ is a simple connected graph with and $|V(G)| \,\neq\,t+2$, then __G__ has a spanning tree with > __t__ leaves, and this is best possible. Β© 2001 John Wiley & Sons, Inc. J Graph Theory 37: 189–197, 2001

A note on graphs with diameter-preservin
✍ Fred Buckley; Martin Lewinter πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 182 KB πŸ‘ 1 views

The distance between a pair of vertices u, u in a graph G is the length of a shortest path joining u and u. The diameter diam(G) of G is the maximum distance between all pairs of vertices in G. A spanning tree Tof G is diameter preserving if diam(T) = diam(G). In this note, we characterize graphs th

On graphs with the maximum number of spa
✍ Alexander K. Kelmans πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 814 KB

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