A Local Clustering Algorithm for Connection Graphs

Q3 Mathematics Internet Mathematics Pub Date : 2013-12-14 DOI:10.1080/15427951.2014.968295
F. Graham, Mark Kempton
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引用次数: 11

Abstract

We give a clustering algorithm for connection graphs, that is, weighted graphs in which each edge is associated with a d-dimensional rotation. The problem of interest is to identify subsets of small Cheeger ratio that have a high level of consistency, i.e., that have a small edge boundary and for which the rotations along any distinct paths joining two vertices are the same or within some small error factor. We use PageRank vectors as well as tools related to the Cheeger constant to give a clustering algorithm that runs in nearly linear time.
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连接图的局部聚类算法
我们给出了连接图的聚类算法,即每条边与一个d维旋转相关联的加权图。感兴趣的问题是识别具有高度一致性的小Cheeger比率子集,即具有较小的边缘边界,并且沿着连接两个顶点的任何不同路径的旋转是相同的或在一些小误差因子内。我们使用PageRank向量以及与Cheeger常数相关的工具来给出一个在接近线性时间内运行的聚类算法。
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Internet Mathematics
Internet Mathematics Mathematics-Applied Mathematics
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