Boltzmann Samplers for v-balanced Colored Necklaces

Olivier Bodini (1) , Alice Jacquot (1)

1 APR - Algorithmes, Programmes et Résolution

This paper is devoted to the random generation of particular colored necklaces for which the number of beads of a given color is constrained (these necklaces are called v-balanced). We propose an efficient sampler (its expected time complexity is linear) which satisfies the Boltzmann model principle introduced by Duchon, Flajolet, Louchard and Schaeffer. Our main motivation is to show that the absence of a decomposable specification can be circumvented by mixing the Boltzmann samplers with other types of samplers.

Mots clés: random generation; Boltzmann; combinatorial class; necklace

Domaines: Mathématique discrète [cs.DM]; Combinatoire [math.CO]; Algorithme et structure de données [cs.DS]

Olivier Bodini, Alice Jacquot. Boltzmann Samplers for v-balanced Colored Necklaces. 2009. ⟨hal-00432215⟩