High connectivity keeping connected subgraph
β Scribed by Shinya Fujita; Ken-ichi Kawarabayashi
- Book ID
- 119236580
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 170 KB
- Volume
- 38
- Category
- Article
- ISSN
- 1571-0653
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.