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Spanning 3-connected index of graphs

✍ 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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πŸ“œ SIMILAR VOLUMES


2-Connected Spanning Subgraphs of Planar
✍ D.W. Barnette πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 278 KB

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.

Spanning even subgraphs of 3-edge-connec
✍ Bill Jackson; Kiyoshi Yoshimoto πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 344 KB

## Abstract By Petersen's theorem, a bridgeless cubic graph has a 2‐factor. 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 3‐edge‐connec