Integral packing of trees and branchings
β Scribed by V. A. Trubin
- Publisher
- Springer US
- Year
- 1995
- Tongue
- English
- Weight
- 278 KB
- Volume
- 31
- Category
- Article
- ISSN
- 1573-8337
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π SIMILAR VOLUMES
Let \(G\) be an undirected graph, \(T\) an even subset of vertices and \(F\) an optimal \(T\)-join, which is a forest of two trees. The main theorem of this paper characterizes the cases, where \((G, T)\) has an optimal packing of \(T\)-cuts which is integral. This theorem unifies and generalizes a
Let H be a tree on h 2 vertices. It is shown that if n is sufficiently large and G=(V, E ) is an n-vertex graph with $(G) wnΓ2x , then there are w |E |Γ(h&1)x edge-disjoint subgraphs of G which are isomorphic to H. In particular, if h&1 divides |E | then there is an H-decomposition of G. This result
## Abstract In this study, we provide methods for drawing a tree with __n__ vertices on a convex polygon, without crossings and using the minimum number of edges of the polygon. We apply the results to obtain planar packings of two trees in some specific cases. Β© 2002 Wiley Periodicals, Inc. J Grap