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Boltzmann Samplers for Colored Combinatorial Objects

2009/11/14 by Olivier Bodini, Bodini, Olivier, Alice Jacquot +1
Computer Science · Mathematics · #Combinatorics (math.CO) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #cs.DM #cs.DS #math.CO

paper · pdf · doi:10.48550/arxiv.0911.2801

arxiv created 2009/11/14 · openalex publication_date 2009/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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