Removable edges in cycles of ak-connected graph
β Scribed by Li Qiong Xu; Xiao Feng Guo
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2011
- Tongue
- English
- Weight
- 194 KB
- Volume
- 27
- Category
- Article
- ISSN
- 1439-7617
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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
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