{"id":"W1869370664","doi":"10.46298/dmtcs.12809","title":"Structure and enumeration of $(3+1)$-free posets (extended abstract)","year":2013,"lang":"fr","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Partially ordered set; Combinatorics; Mathematics; Enumeration; Bipartite graph; Star product; Conjecture","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001377203,0.0007080956,0.001096707,0.0002723128,0.000425989,0.0006118116,0.001958823,0.0003512281,0.001225492],"category_scores_gemma":[0.002332098,0.0006096128,0.0001839793,0.0008615933,0.007180843,0.001255717,0.001654231,0.0006326654,0.00007424335],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001230758,"about_ca_system_score_gemma":0.0001932865,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001266631,"about_ca_topic_score_gemma":0.000001964611,"domain_scores_codex":[0.9947132,0.0001318437,0.001582543,0.0008825288,0.001622406,0.001067414],"domain_scores_gemma":[0.9936761,0.001897178,0.0008559919,0.00207189,0.0009224071,0.0005764312],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000008003203,0.0003752766,0.000008357954,0.001650956,0.00005116139,0.000007076593,0.004269969,0.00001951545,0.006257924,0.980512,0.0003016426,0.006538122],"study_design_scores_gemma":[0.0005939133,0.0002820504,0.0001192672,0.0007736846,0.0001247731,0.00009768377,0.0002566217,0.1738654,0.01229224,0.8110581,0.00002370204,0.000512563],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3636994,0.0007532382,0.6231578,0.002790166,0.002546533,0.002197713,0.0001516579,0.0001745651,0.004528904],"genre_scores_gemma":[0.5818977,0.00002756989,0.417655,0.00007702604,0.0001822914,0.00001687021,0.000003808237,0.00005854937,0.00008118359],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.2181983,"threshold_uncertainty_score":0.9996876,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01071285136633743,"score_gpt":0.2687285048475549,"score_spread":0.2580156534812175,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}