A graph G admits a tree-partition of width k if its vertex set can be partitioned into sets of size at most k so that the graph obtained by identifying the vertices in each set of the partition, and then deleting loops and parallel edges, is a forest. In the paper, we characterize the classes of gra
On partitions of graphs into trees
β Scribed by F.R.K. Chung
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 934 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0012-365X
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β¦ Synopsis
We crgnsider the minimum m*-nber T(G) of subsets intl:, which the edge set E(G) of a graph G can lx partitioned so that each subset forms a tree. It is shown that for any connected (3 with II vertices, we always have T( Gj s [$I.
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