Typical Subgraphs of 3- and 4-Connected Graphs
β Scribed by B. Oporowski; J. Oxley; R. Thomas
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 773 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0095-8956
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π SIMILAR VOLUMES
A subgraph H of a 3-connected finite graph G is called contractible if H is connected and G&V(H) is 2-connected. This work is concerned with a conjecture of McCuaig and Ota which states that for any given k there exists an f (k) such that any 3-connected graph on at least f (k) vertices possesses a
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.
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