Spanning 3-connected index of graphs
β Scribed by Wei Xiong, Zhao Zhang, Hong-Jian Lai
- Book ID
- 120694238
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 429 KB
- Volume
- 27
- Category
- Article
- ISSN
- 1382-6905
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π SIMILAR VOLUMES
We prove that every planar 3-connected graph has a 2-connected spanning subgraph of maximum valence 15 . We give an example of a planar 3 -connected graph with no spanning 2-connected subgraph of maximum valence five. i) 1994 Academic Press, Inc.
## Abstract By Petersen's theorem, a bridgeless cubic graph has a 2βfactor. H. Fleischner extended this result to bridgeless graphs of minimum degree at least three by showing that every such graph has a spanning even subgraph. Our main result is that, under the stronger hypothesis of 3βedgeβconnec