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
Two-edge connected spanning subgraphs and polyhedra
β Scribed by Ali Ridha Mahjoub
- Publisher
- Springer-Verlag
- Year
- 1994
- Tongue
- English
- Weight
- 634 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0025-5610
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## 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
Consider the minimum size k-edge-connected spanning subgraph problem: given a positive integer k and a k-edge-connected graph G, find a k-edge-connected spanning subgraph of G with the minimum number of edges. This problem is known to be NP-complete. Khuller and Raghavachari presented the first algo