Removable edges of cycles in 5-connected graphs
β Scribed by Haiyan Kang; Jichang Wu; Guojun Li
- Book ID
- 107619731
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 341 KB
- Volume
- 28
- Category
- Article
- ISSN
- 1598-5865
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## Abstract An edge __e__ of a 3βconnected graph __G__ is said to be __removable__ if __G__ β __e__ is a subdivision of a 3βconnected graph. If __e__ is not removable, then __e__ is said to be __nonremovable.__ In this paper, we study the distribution of removable edges in 3βconnected graphs and pr
An edge of a 3-connected graph G is said to be removable if G&e is a subdivision of a 3-connected graph. Holton et al. (1990) proved that every 3-connected graph of order at least five has at least W(|G| +10)Γ6X removable edges. In this paper, we prove that every 3-connected graph of order at least