Constructing a perfect matching is in random NC
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Constructing a perfect matching of maximum weight in a graph whose edge weights are given in unary notation;
Constructing a maximum-cardinality matching;
Constructing a matching covering a set of vertices of maximum weight in a graph whose vertex weights are given in binary;
Constructing a maximums-t flow in a directed graph whose edge weights are given in unary.
AMS subject classification (1980)68 E 10
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