Spanning subgraphs of k-connected digraphs
β Scribed by Daniel A Marcus
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 600 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
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
Given a graph G, let a k-trestle of G be a 2-connected spanning subgraph of G of maximum degree at most k. Also, let /(G) be the Euler characteristic of G. This paper shows that every 3-connected graph G has a (10&2/(G))-trestle. If /(G) &5, this is improved to 8&2/(G), and for /(G) &10, this is fur