English

Boltzmann Samplers for Colored Combinatorial Objects

Discrete Mathematics 2009-11-17 v1 Data Structures and Algorithms Combinatorics

Abstract

In this paper, we give a general framework for the Boltzmann generation of colored objects belonging to combinatorial constructible classes. We propose an intuitive notion called profiled objects which allows the sampling of size-colored objects (and also of k-colored objects) although the corresponding class cannot be described by an analytic ordinary generating function.

Cite

@article{arxiv.0911.2801,
  title  = {Boltzmann Samplers for Colored Combinatorial Objects},
  author = {Olivier Bodini and Alice Jacquot},
  journal= {arXiv preprint arXiv:0911.2801},
  year   = {2009}
}
R2 v1 2026-06-21T14:11:39.675Z