{"id":"W190437119","doi":"","title":"On the matching polynomials of the complete n-partite graph.","year":2001,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Matching (statistics); Combinatorics; Graph; Discrete mathematics; Statistics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007613666,0.0002829917,0.0004511507,0.00006477579,0.0003420375,0.00004208228,0.001014955,0.00009936361,0.00008980716],"category_scores_gemma":[0.001252458,0.000166519,0.0002496214,0.0005587534,0.0001970608,0.0001024461,0.0002625847,0.0003776909,0.00005561425],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000735869,"about_ca_system_score_gemma":0.00004209345,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001735806,"about_ca_topic_score_gemma":0.000005054797,"domain_scores_codex":[0.9978346,0.0002734928,0.0006301624,0.0002538947,0.0006147372,0.0003931275],"domain_scores_gemma":[0.9948868,0.002986992,0.0005305078,0.001396117,0.0001287023,0.0000708664],"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":[0.00002217892,0.0002076939,0.0001776865,0.00003532545,0.00005032969,0.000002943929,0.0006171824,0.0000174522,0.001678234,0.9941155,0.003025385,0.00005008823],"study_design_scores_gemma":[0.0006409297,0.00006693167,0.0002249524,0.0001605891,0.00004633482,0.00001095685,0.0001830669,0.00004630266,0.003992565,0.9936204,0.0008192196,0.0001877546],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9890236,0.00003678847,0.0002615289,0.001137564,0.002710041,0.0006762483,0.00000901893,0.0001031279,0.006042131],"genre_scores_gemma":[0.9986414,0.00001208215,0.000633902,0.0002470435,0.00002261742,0.00004353812,7.570374e-7,0.00005910551,0.0003395501],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009617852,"threshold_uncertainty_score":0.6790447,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04566966085696669,"score_gpt":0.2916617731814702,"score_spread":0.2459921123245035,"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."}}