For any positive integer s, an s-partition of a graph G = ( ! -( β¬I is a partition of E into El U E2 U U E k, where 14 = s for 1 I i 5 k -1 and 1 5 1 4 1 5 s and each β¬; induces a connected subgraph of G. We prove (i) if G is connected, then there exists a 2-partition, but not neces-(ii) if G is 2-e
On the complexity of partitioning graphs into connected subgraphs
β Scribed by M.E. Dyer; A.M. Frieze
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 897 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0166-218X
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π SIMILAR VOLUMES
In this paper, we establish that any interval graph (resp. circulararc graph) with n vertices admits a partition into at most log 3 n (resp. log 3 n +1) proper interval subgraphs, for n>1. The proof is constructive and provides an efficient algorithm to compute such a partition. On the other hand, t
## Abstract A graph has the neighborβclosedβcoβneighbor, or ncc property, if for each of its vertices __x__, the subgraph induced by the neighbor set of __x__ is isomorphic to the subgraph induced by the closed nonβneighbor set of __x__. As proved by Bonato and Nowakowski [5], graphs with the ncc p
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