A Local Graph Partitioning Algorithm Using Heat Kernel Pagerank

Fan Chung
2009 Internet Mathematics  
We give an improved local partitioning algorithm using heat kernel pagerank, a modified version of PageRank. For a subset S with Cheeger ratio (or conductance) h, we show that there are at least a quarter of the vertices in S that can serve as seeds for heat kernel pagerank which lead to local cuts with Cheeger ratio at most O( √ h), improving the previously bound by a factor of Ô log |S|.
doi:10.1080/15427951.2009.10390643 fatcat:jxlmagftfvhflkp75qqplvb6di