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Decompositions of graphs into trees

✍ Scribed by Zbigniew Lonc

Publisher: John Wiley and Sons
Year: 1989
Tongue: English
Weight: 460 KB
Volume: 13
Category: Article
ISSN: 0364-9024
DOI: 10.1002/jgt.3190130403

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📜 SIMILAR VOLUMES

Tree decomposition of graphs

✍ Raphael Yuster 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 207 KB 👁 1 views

with ␦ G G V r2 q 10 h V log V , and h y 1 divides E , then there is a decomposition of the edges of G into copies of H. This result is asymptotically the best possible for all trees with at least three vertices.

Packing trees into planar graphs

✍ A. García; C. Hernando; F. Hurtado; M. Noy; J. Tejel 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 108 KB

## 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. © 2002 Wiley Periodicals, Inc. J Grap

On resolvable tree-decompositions of com

On resolvable tree-decompositions of complete graphs

✍ Zbigniew Lonc 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 355 KB 👁 1 views

A partition of the edge set of a graph H into subsets inducing graphs H,, . . . , H, isomorphic to a graph G is said to be a G-decomposition of H. A G-decomposition of H is resolvable if the set {H,, . . . , H,} can be partitioned into subsets, called resolution classes, such that each vertex of H

Packing and Decomposition of Graphs with

Packing and Decomposition of Graphs with Trees

✍ Raphael Yuster 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 214 KB

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) wnÂ2x , then there are w |E |Â(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

The decomposition of trees into subtrees

✍ Yair Caro 📂 Article 📅 1984 🏛 John Wiley and Sons 🌐 English ⚖ 332 KB

## Abstract A necessary condition for the decomposition of a tree __T__ into subtrees, each isomorphic to a tree from a given set of trees is presented. We also present a characterization of the set of trees for which the condition is sufficient. Many examples are given.

Decompositions of complete graphs into t

Decompositions of complete graphs into triangles and Hamilton cycles

✍ Darryn Bryant; Barbara Maenhaut 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 121 KB 👁 1 views

## Abstract For all odd integers __n__ ≥ 1, let __G~n~__ denote the complete graph of order __n__, and for all even integers __n__ ≥ 2 let __G~n~__ denote the complete graph of order __n__ with the edges of a 1‐factor removed. It is shown that for all non‐negative integers __h__ and __t__ and all p