k-edge connected polyhedra on series-parallel graphs
β Scribed by M.Didi Biha; A.R. Mahjoub
- Book ID
- 107918327
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 607 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0167-6377
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π SIMILAR VOLUMES
## Abstract For an integer __l__β>β1, the __l__βedgeβconnectivity of a connected graph with at least __l__ vertices is the smallest number of edges whose removal results in a graph with __l__ components. A connected graph __G__ is (__k__, __l__)βedgeβconnected if the __l__βedgeβconnectivity of __G_
A graph G = (V; E) is called minimally (k; T )-edge-connected with respect to some T β V if there exist k-edge-disjoint paths between every pair u; v β T but this property fails by deleting any edge of G. We show that |V | can be bounded by a (linear) function of k and |T | if each vertex in V -T ha