Compact cactus representations of all non-trivial min-cuts
نویسندگان
چکیده
منابع مشابه
Compact Representations of Cuts
Consider the ( n 2 ) (or O(n2)) min-cut problems on a graph with n nodes and nonnegative edge weights. Gomory and Hu [J. Soc. Indust. Appl. Math., 9 (1961), pp. 551–570] showed (essentially) that there are at most n−1 different min-cuts. They also described a compact structure (the flow equivalent tree) of size O(n) with the following property: for any pair of nodes, the value of a min-cut can ...
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A cactus is a simple data structure that represents all minimum cuts of a weighted, undi-rected graph in linear space. We describe the rst algorithm that can build a cactus from the asymptotically fastest deterministic algorithm that nds all minimum cuts in a weighted graph | the Hao-Orlin minimum cut algorithm. This improves the time to construct the cactus in graphs with n vertices and m edge...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2020
ISSN: 0166-218X
DOI: 10.1016/j.dam.2020.03.046