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Parallel algorithms for finding the most vital edge with respect to minimum spanning tree

โœ Scribed by Lih-Hsing Hsu; Peng-Fei Wang; Chu-Tao Wu


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
1015 KB
Volume
18
Category
Article
ISSN
0167-8191

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Parallel Algorithm for Finding the Most
โœ Sudarshan Banerjee; Sanjeev Saxena ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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) = โˆž. The most vital edge of G is an edge e such that f(Ge) โ‰ฅ f(G -eโ€ฒ) for every other edge