Abstract

Consider the random assignment (or bipartite matching) problem with iid uniform edge costs t(i, j). Let be the optimal assignment cost. Just recently does Aldous [2] give a rigorous proof that E longrightarrowζ(2). In this paper we establish the upper and lower bounds for Var , i.e., there exist two strictly positive but finite constants and such athat 2)/ (log n)2)/ Var (log n).EX>.

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