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Engineering Motif Search for Large Graphs

机译:工程图案搜索大图

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In the graph motif problem, we are given as input a vertexcolored graph H (the host graph) and a multiset of colors M (the motif). Our task is to decide whether H has a connected set of vertices whose multiset of colors agrees with M. The graph motif problem is NP-complete but known to admit parameterized algorithms that run in linear time in the size of H. We demonstrate that algorithms based on constrained multilinear sieving are viable in practice, scaling to graphs with hundreds of millions of edges as long as M remains small. Furthermore, our implementation is topologyinvariant relative to the host graph H, meaning only the most crude graph parameters (number of edges and number of vertices) suffice in practice to determine the algorithm performance.
机译:在图形主题问题中,我们被给出了输入顶点一个顶点h(主机图)和颜色的多重组(图案)。我们的任务是决定H是否有一个连接的一组顶点,其多种颜色的颜色与M同意。图表主题问题是NP-Tremint,但已知通过在H的大小的线性时间中承认参数化算法。我们演示了算法基于受约束的多线性筛分在实践中可行,只要M仍然很小,就缩放到数百百万边缘的图表。此外,我们的实现是与主机图H相关的顶部识别,这意味着只有最原始的图表参数(边缘数和顶点数量)就在实践中足以确定算法性能。

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