On the decomposition of a graph into stars
โ Scribed by Michael Tarsi
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 248 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
It is known that whenever u(u -1) -0 (mod 2m) and u ~=2tn, the complete graph K, can be decomposed into edge disjoint, m-stars [l, 21. In this paper we prove that K, can be
๐ SIMILAR VOLUMES
We verify that the Tree Packing Conjecture is true for all sequences of trees T 1 , . . . , T n such that there exists x i โ V (T i ) and T i -x i has at least i -6(i -1)/4 isolated vertices.
## Abstract A short proof is given of the impossibility of decomposing the complete graph on __n__ vertices into __n__โ2 or fewer complete bipartite graphs.
A necessary and sufficient condition for the existence of a decomposition of A&, irto stars is given. A complete multigraph AK, is a complete graph & in which every edge is taken A times. A complete multigraph A&, is said to have a G-decomposition G[h, v] if it is a union of edge disjoint subgraphs