{"id":"W2794420812","doi":"","title":"The independence number of the competition graph of a bipartite tournament.","year":2018,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Game Theory and Applications","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Tournament; Bipartite graph; Mathematics; Independence (probability theory); Independence number; Competition (biology); Graph; Combinatorics; Mathematical economics; 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":[0.001913188,0.0000616931,0.0001186714,0.00002902508,0.0003075877,0.00004409323,0.001016588,0.00003909739,0.0002637983],"category_scores_gemma":[0.0005386539,0.000031348,0.00009077258,0.000787933,0.0007058324,0.00009667855,0.0001583647,0.0001021264,0.0001797693],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008723761,"about_ca_system_score_gemma":0.00004012887,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001899252,"about_ca_topic_score_gemma":0.00002286093,"domain_scores_codex":[0.9983574,0.0002263817,0.0003980818,0.0001463383,0.0007514827,0.0001203184],"domain_scores_gemma":[0.9975584,0.0008081036,0.0003619961,0.0007724704,0.0004651349,0.00003396856],"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":[0.00001294277,0.00004999545,0.01668262,8.038118e-7,0.000007237421,6.027545e-8,0.0002834763,0.000001840061,0.002294108,0.9786304,0.001243825,0.0007926748],"study_design_scores_gemma":[0.0001593549,0.00002913274,0.02834374,0.00001450399,0.000006823696,0.000002716408,0.0002961776,0.00004102656,0.01720195,0.9488956,0.004972422,0.00003649735],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9871767,0.00002006147,0.00007689101,0.0007402752,0.0007612893,0.0001302049,0.000005918955,0.000007331267,0.01108135],"genre_scores_gemma":[0.9992806,0.00000742357,0.00004171062,0.00005326771,0.000006767874,0.00001051169,2.220951e-7,0.000003506853,0.0005959492],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02973476,"threshold_uncertainty_score":0.2888406,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03637645098151386,"score_gpt":0.3473419640278946,"score_spread":0.3109655130463807,"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."}}