A simple theorem on 3-connectivity
β Scribed by Robert E. Bixby
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 245 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A 3-separation (A, B), in a matroid M, is called sequential if the elements of A can be ordered (a 1 , ..., a k ) such that, for i=3, ..., k, ([a 1 , ..., a i ], [a i+1 , ..., a k ] \_ B) is a 3-separation. A matroid M is sequentially 4-connected if M is 3-connected and, for every 3-separation (A, B
## Abstract An edge of a 5βconnected graph is said to be contractible if the contraction of the edge results in a 5βconnected graph. Let __x__ be a vertex of a 5βconnected graph. We prove that if there are no contractible edges whose distance from __x__ is two or less, then either there are two tri