Chain Decompositions of 4-Connected Graphs
✍ Scribed by Curran, Sean; Lee, Orlando; Yu, Xingxing
- Book ID
- 118199552
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2005
- Tongue
- English
- Weight
- 422 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
If rjn À 1 and rn is even, then K n can be expressed as the union of t nÀ1 r edgedisjoint isomorphic r-regular r-connected factors.
## Abstract We prove that a 171‐edge‐connected graph has an edge‐decomposition into paths of length 3 if and only its size is divisible by 3. It is a long‐standing problem whether 2‐edge‐connectedness is sufficient for planar triangle‐free graphs, and whether 3‐edge‐connectedness suffices for graph
## Abstract The only uncontractable 4‐connected graphs are __C__^2^~__n__~ for __n__ ≥ 5 and the line graphs of the cubic cyclically 4‐connected graphs.