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This paper studies algorithms for computing a Gomory-Hu tree, which is aclassical data structure that compactly stores all minimum $s$-$t$ cuts of anundirected weighted graph. We consider two classes of algorithms: the originalmethod by Gomory and Hu and the method based on "OrderedCuts" that we recentlyproposed. We describe practical implementations of these methods, and comparethem experimentally with the algorithms from the previous experimental studiesby Goldberg and Tsioutsiouliklis (2001) and by Akibo et al. (2016) (designedfor unweighted simple graphs). Results indicate that the method based onOrderedCuts is the most robust, and often outperforms other implementations bya large factor.

A computational study of Gomory-Hu construction tree algorithms