Finding 2-edge connected spanning subgraphs
β Scribed by Woonghee Tim Huh
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 185 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0167-6377
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β¦ Synopsis
This paper studies the NP-hard problem of ΓΏnding a minimum size 2-edge connected spanning subgraph (2-ECSS). An algorithm is given that on an r-edge connected input graph G =(V; E) ΓΏnds a 2-ECSS of size at most |V |+(|E|-|V |)=(r -1). For r-regular, r-edge connected input graphs for r = 3, 4, 5 and 6, this gives approximation guarantees of 5 4 ; 4 3 ; 11 8 and 7 5 , respectively.
π SIMILAR VOLUMES
## 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
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.