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Finding the most vital edge with respect to minimum spanning tree in weighted graphs

✍ Scribed by Lih-Hsing Hsu; Rong-Hong Jan; Yu-Che Lee; Chun-Nan Hung; Maw-Sheng Chern


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
557 KB
Volume
39
Category
Article
ISSN
0020-0190

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Parallel Algorithm for Finding the Most
✍ Sudarshan Banerjee; Sanjeev Saxena πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 75 KB

Let G = (V, E) be a weighted undirected graph with n vertices and m edges; each edge e has a weight w(e) assigned to it. Let f(G) be the weight of a minimum spanning tree of G if G is connected; otherwise f(G) = ∞. The most vital edge of G is an edge e such that f(Ge) β‰₯ f(G -eβ€²) for every other edge