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Register a new userA Fast Max Flow Algorithm
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Added by
Xiao-Yue Gong
Publication date
2019
fields
Informatics Engineering
and research's language is
English
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In 2013, Orlin proved that the max flow problem could be solved in $O(nm)$ time. His algorithm ran in $O(nm + m^{1.94})$ time, which was the fastest for graphs with fewer than $n^{1.06}$ arcs. If the graph was not sufficiently sparse, the fastest running time was an algorithm due to King, Rao, and Tarjan. We describe a new variant of the excess scaling algorithm for the max flow problem whose running time strictly dominates the running time of the algorithm by King et al. Moreover, for graphs in which $m = O(n log n)$, the running time of our algorithm dominates that of King et al. by a factor of $O(loglog n)$.
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