SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
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We give the first polynomial-time algorithm for the following problem: Given a degree sequence in which each degree is bounded from above by a constant, select, uniformly at random, an unlabelled connected multigraph with the given degree sequence. We also give the first polynomial-time algorithm for the following related problem: Given a molecular formula, select, uniformly at random, a structural isomer having the giver formula.