## 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
Path Decomposition of Graphs with Given Path Length
✍ Scribed by Ming-qing Zhai; Chang-hong Lü
- Book ID
- 106301184
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2006
- Tongue
- English
- Weight
- 149 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0168-9673
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