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Efficient Algorithms for Node Disjoint Subgraph Homeomorphism Determination

机译:确定节点不相交子图同胚性的有效算法

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Recently, great efforts have been dedicated to researches on the management of large-scale graph-based data, where node disjoint subgraph homeomorphism relation between graphs has been shown to be more suitable than (sub)graph isomorphism in many cases, especially in those cases where node skipping and node mismatching are desired. However, no efficient algorithm for node disjoint subgraph homeomorphism determination (ndSHD) has been available. In this paper, we propose two computationally efficient ndSHD algorithms based on state spaces searching with backtracking, which employ many heuristics to prune the search spaces. Experimental results on synthetic data sets show that the proposed algorithms are efficient, require relatively little time in most of cases, can scale to large or dense graphs, and can accommodate to more complex fuzzy matching cases.
机译:最近,人们致力于研究基于大规模图的数据,其中在许多情况下,尤其是在那些情况下,图之间的节点不相交的子图同胚关系比(子)图同构更合适。需要跳过节点和节点不匹配的地方。但是,没有有效的算法可用于节点不相交子图同胚性确定(ndSHD)。在本文中,我们提出了两种基于状态空间搜索和回溯的高效计算ndSHD算法,它们采用许多启发式算法来修剪搜索空间。在综合数据集上的实验结果表明,所提出的算法是有效的,在大多数情况下只需要相对较少的时间,可以缩放到较大或密集的图,并且可以适应更复杂的模糊匹配情况。

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