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Random Combinatorial Objects

In: Non-Uniform Random Variate Generation

Author

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  • Luc Devroye

    (McGill University, School of Computer Science)

Abstract

Some applications demand that random combinatorial objects be generated: by definition, a combinatorial object is an object that can be put into one-to-one correspondence with a finite set of integers. The main difference with discrete random varlate generation is that the one-to-one mapping is usually complicated, so that it may not be very efficient to generate a random integer and then determine the object by using the one-to-one mapping. Another characteristic is the size of the problem: typically, the number of different objects is phenomenally large. A final distinguishing feature is that most users are interested in the uniform distribution over the set of objects.

Suggested Citation

  • Luc Devroye, 1986. "Random Combinatorial Objects," Springer Books, in: Non-Uniform Random Variate Generation, chapter 0, pages 642-673, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-8643-8_13
    DOI: 10.1007/978-1-4613-8643-8_13
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