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On removable edges in 3-connected cubic graphs

✍ Scribed by Jean-Luc Fouquet; Henri Thuillier


Book ID
113567523
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
232 KB
Volume
312
Category
Article
ISSN
0012-365X

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Removable edges in 3-connected graphs
✍ Derek A. Holton; Bill Jackson; Akira Saito; Nicholas C. Wormald πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 404 KB

## Abstract An edge __e__ of a 3‐connected graph __G__ is said to be __removable__ if __G__ ‐ __e__ is a subdivision of a 3‐connected graph. If __e__ is not removable, then __e__ is said to be __nonremovable.__ In this paper, we study the distribution of removable edges in 3‐connected graphs and pr

The Number of Removable Edges in 3-Conne
✍ Su Jianji πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 147 KB

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)Γ‚6X removable edges. In this paper, we prove that every 3-connected graph of order at least