Optimal Algorithms for Finding the Longest Path with Length and Sum Constraints in a Tree
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概要
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Let T be a tree in which every edge is associated with a real number. The sum of a path in T is the sum of the numbers associated with the edges of the path and its length is the number of the edges in it. For two positive integers L1 ≤ L2 and two real numbers S1 ≤ S2, a path is feasible if its length is between L1 and L2 and its sum is between S1 and S2. We address the problem: Given a tree T, and four numbers, L1, L2, S1 and S2, find the longest feasible path of T. We provide an optimal O(nlog n) time algorithm for the problem, where n=|T|.
- 2011-06-01
著者
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Kim Sung
School Of Computer Sci. And Engineering Chung-ang Univ.
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KIM Sung
School of Computer Science and Engineering, Chung-Ang University
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