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arXiv · 1104.4890

Min-cuts and Shortest Cycles in Planar Graphs in O(n log log n) Time

Jakub Łącki·Piotr Sankowski
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Abstract

We present a deterministic O(n log log n) time algorithm for finding shortest cycles and minimum cuts in planar graphs. The algorithm improves the previously known fastest algorithm by Italiano et al. in STOC'11 by a factor of log n. This speedup is obtained through the use of dense distance graphs combined with a divide-and-conquer approach.

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Jakub Łącki, Piotr Sankowski. 2011-04-26. Min-cuts and Shortest Cycles in Planar Graphs in O(n log log n) Time. https://arxiv.org/abs/1104.4890

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