𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spanning Trees with Few Leaves

✍ Scribed by Masao Tsugaki; Tomoki Yamashita


Publisher
Springer Japan
Year
2007
Tongue
English
Weight
272 KB
Volume
23
Category
Article
ISSN
0911-0119

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Heavy cycles and spanning trees with few
✍ Binlong Li; Shenggui Zhang πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 205 KB

Let G be a 2-connected weighted graph and k β‰₯ 2 an integer. In this note we prove that if the sum of the weighted degrees of every k + 1 pairwise nonadjacent vertices is at least m, then G contains either a cycle of weight at least 2m/(k + 1) or a spanning tree with no more than k leaves.

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

Spanning trees with many leaves
✍ D. V. Karpov πŸ“‚ Article πŸ“… 2011 πŸ› Springer US 🌐 English βš– 211 KB
Spanning Trees Crossing Few Barriers
✍ Tetsuo Asano; Mark de Berg; Otfried Cheong; Leonidas J. Guibas; Jack Snoeyink; H πŸ“‚ Article πŸ“… 2003 πŸ› Springer 🌐 English βš– 232 KB
On a Spanning Tree with Specified Leaves
✍ Yoshimi Egawa; Haruhide Matsuda; Tomoki Yamashita; Kiyoshi Yoshimoto πŸ“‚ Article πŸ“… 2008 πŸ› Springer Japan 🌐 English βš– 88 KB
Intersection representation of digraphs
✍ Lin, In-Jen; Sen, Malay K.; West, Douglas B. πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 285 KB πŸ‘ 2 views

The leafage of a digraph is the minimum number of leaves in a host tree in which it has a subtree intersection representation. We discuss bounds on the leafage in terms of other parameters (including Ferrers dimension), obtaining a string of sharp inequalities.