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基于Floyd算法的多重最短路问题的改进算法 被引量:44

Improved Algorithm about Muti-shortest Path Problem Based on Floyd Algorithm
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摘要 路径分析是网络分析最基本的问题,其核心是对最短路径的求解。Floyd算法是一种求取最短路的经典算法。分析发现,两点间可能存在多条权重相同的最短路径,而这一点Floyd算法没有涉及。以无向联通图为研究对象,设计了基于Floyd求解多重等价最短路算法,并分析计算了一个实际算例。计算结果表明,基于Floyd的多重等价最短路算法可以有效解决多重等价最短路问题。 Find the shortest path is the core of the path analysis,which is the fundamental problem of the network ana- lysis. Floyd algorithm is one of the most classical algorithms to solve the shortest path problem. Through analyzing practical problems, there maybe exist multiple shortest paths with the same weight that the Floyd algorithm are not ad- dressed. This paper designed the multi-shortest paths algorithm for undirected graph based on Floyd algorithm and of- fered an example to exam the correctness of the algorithm. The experimental results show that the algorithm can effec- tively solve the problem of muti-shortest paths.
出处 《计算机科学》 CSCD 北大核心 2017年第5期232-234,267,共4页 Computer Science
关键词 无向图 FLOYD算法 多重等价最短路 Undirected graph, Floyd algorithm, Muti-shortest path
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