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A new algorithm for subgraph optimal isomorphism

机译:子图最优同构的新算法

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摘要

In this paper a new algorithm for subgraph isomorphism is proposed. The main idea of the new algorithm is to decompose the graphs to be matched into smaller subgraphs. The matching process is then done at the level of the decomposed subgraphs based on the concept of error-correcting transformations. The cost of matching two graphs is defined as the minimum of a weighted bipartite graph constructed from the decomposed subgraphs. The average computational complexity of the proposed algorithm is found to be O(N-4). The results of the application of the new algorithm show that the new technique is quite efficient and, in many respects, superior to similar existing techniques in the literature. Besides, it overcomes most of the problems encountered in using tree search algorithms. The new algorithm is also suitable for parallelprocessing implementation. (C) 1997 Pattern Recognition Society. Published by Elsevier Science Ltd. [References: 47]
机译:本文提出了一种新的子图同构算法。新算法的主要思想是将要匹配的图分解为较小的子图。然后基于纠错变换的概念在分解的子图的级别上完成匹配过程。匹配两个图的成本定义为从分解的子图构造的加权二部图的最小值。该算法的平均计算复杂度为O(N-4)。新算法的应用结果表明,该新技术非常有效,并且在许多方面都优于文献中类似的现有技术。此外,它克服了使用树搜索算法时遇到的大多数问题。新算法也适用于并行处理实现。 (C)1997模式识别学会。由Elsevier Science Ltd.发布[参考文献:47]

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