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Efficient subgraph isomorphism detection: a decomposition approach

机译:高效的子图同构检测:一种分解方法

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摘要

Graphs are a powerful and universal data structure useful in various subfields of science and engineering. In this paper, we propose a new algorithm for subgraph isomorphism detection from a set of a priori known model graphs to an input graph that is given online. The new approach is based on a compact representation of the model graphs that is computed offline. Subgraphs that appear more than once within the same or within different model graphs are represented only once, thus reducing the computational effort to detect them in an input graph. In the extreme case where all model graphs are highly similar, the run-time of the new algorithm becomes independent of the number of model graphs. Both a theoretical complexity analysis and practical experiments characterizing the performance of the new approach are given.
机译:图形是一种强大而通用的数据结构,可用于科学和工程学的各个子领域。在本文中,我们提出了一种用于子图同构检测的新算法,该算法从一组先验已知模型图到在线给出的输入图。新方法基于离线计算的模型图的紧凑表示。在相同或不同模型图内多次出现的子图仅表示一次,因此减少了在输入图中检测到子图的计算量。在所有模型图高度相似的极端情况下,新算法的运行时间变得与模型图的数量无关。给出了理论上的复杂性分析和表征该新方法性能的实际实验。

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