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Research Report CS-RR-356

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Leslie Ann Goldberg, Randomly Sampling Unlabelled Structures (April 22, 1999).

Abstract

Informally, an "unlabelled combinatorial structure" is an object such as an unlabelled graph (in which the vertices are indistinguishable) or a structural isomer in chemistry (in which different atoms of the same type are indistinguishable). Computational experiments such as those described in this volume often rely on random sampling to generate inputs for the experiments. This paper surveys work on the problem of efficiently sampling unlabelled combinatorial structures from a uniform distribution.

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