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A heuristic algorithm for the mini-max spanning forest problem

delete1996-06-01
delete17
PRE
AI
T
Takeo Yamada *
H
Hideo Takahashi
S
Seiji Kataoka
DOI:10.1016/0377-2217(94)00335-1delete
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Abstract

Abstract

En 中文
In this paper we formulate the mini-max spanning forest problem for undirected graphs as a generalization of the minimum spanning tree problem. We prove that the former problem is NP-hard. Then we develop a heuristic algorithm to solve this problem approximately, and give an upper bound for relative errors. Through a series of numerical tests, we examine the performance of the developed algorithm.
Keywords:
spanning forest
mini-max problem
heuristics
graph theory
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Journal

European Journal of Operational Research cover
European Journal of Operational Research
IF:
6
Papers:
2.2W
Citations:
6.4W

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