On partitioning a graph into two connected subgraphs
✍ Scribed by Daniël Paulusma; Johan M.M. van Rooij
- Book ID
- 113927538
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 317 KB
- Volume
- 412
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
For any positive integer s, an s-partition of a graph G = ( ! -( €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 €; 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
## Abstract A graph has the neighbor‐closed‐co‐neighbor, 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 non‐neighbor set of __x__. As proved by Bonato and Nowakowski [5], graphs with the ncc p