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~(1/2)), improving the previously bound by a factor of (log |S|)~(1/2).
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机译：我们使用热核Pagerank（PageRank的修改版本）提供了一种改进的局部分区算法。对于具有Cheeger比（或电导）h的子集S，我们表明S中至少有四分之一的顶点可以用作热核Pagerank的种子，从而导致Cheeger比最大为O（h〜 （1/2）），将先前的界限提高（log | S |）〜（1/2）。
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