A Fast Edge-Splitting Algorithm in Edge-Weighted Graphs(<Special Section>Discrete Mathematics and Its Applications)
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概要
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Let H be a graph with a designated vertex s, where edges are weighted by nonnegative reals. Splitting edges e={u,s} and e'={s,v} at s is an operation that reduces the weight of each of e and e' by a real δ>0 while increasing the weight of edge {u,v} by δ. It is known that all edges incident to s can be split off while preserving the edge-connectivity of H and that such a complete splitting is used to solve many connectivity problems. In this paper, we give an O(mn+n^2log n) time algorithm for finding a complete splitting in a graph with n vertices and m edges.
- 社団法人電子情報通信学会の論文
- 2006-05-01
著者
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NAGAMOCHI Hiroshi
Department of Applied Mathematics and Physics, Kyoto University
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Nagamochi Hiroshi
Department Of Of Applied Mathematics And Physics Kyoto University
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Nagamochi Hiroshi
Department Of Applied Mathematics And Physics Graduate School Of Engineering Kyoto University
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