{"paper":{"title":"Controlled non uniform random generation of decomposable structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DM","authors_text":"Alain Denise (LRI, IGM), Michel Termier (IGM), Yann Ponty (LIX)","submitted_at":"2010-06-01T09:50:43Z","abstract_excerpt":"Consider a class of decomposable combinatorial structures, using different types of atoms $\\Atoms = \\{\\At_1,\\ldots ,\\At_{|{\\Atoms}|}\\}$. We address the random generation of such structures with respect to a size $n$ and a targeted distribution in $k$ of its \\emph{distinguished} atoms. We consider two variations on this problem. In the first alternative, the targeted distribution is given by $k$ real numbers $\\TargFreq_1, \\ldots, \\TargFreq_k$ such that $0 < \\TargFreq_i < 1$ for all $i$ and $\\TargFreq_1+\\cdots+\\TargFreq_k \\leq 1$. We aim to generate random structures among the whole set of struc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0423","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}