Removable Edges and Chords of Longest Cycles in 3-Connected Graphs
β Scribed by Jichang Wu, Hajo Broersma, Haiyan Kang
- Book ID
- 120788834
- Publisher
- Springer Japan
- Year
- 2013
- Tongue
- English
- Weight
- 201 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
We show that if G is a 3-connected graph of order at least seven, then every longest path between distinct vertices in G contains at least two contractible edges. An immediate corollary is that longest cycles in such graphs contain at least three contractible edges. We consider only finite undirect
## 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
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