A connected subgraph maintaining high connectivity
β Scribed by Fujita, Shinya; Kawarabayashi, Ken-ichi
- Book ID
- 122276685
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 388 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A theorem of Mader states that highly connected subgraphs can be forced in finite graphs by assuming a high minimum degree. We extend this result to infinite graphs. Here, it is necessary to require not only high degree for the vertices but also high __vertexβdegree__ (or __multiplicity
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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