{"id":"W4406164335","doi":"10.61091/ars161-11","title":"Gallai Theorems Involving Minority and Majority Parameters","year":2024,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Pure mathematics; Mathematical economics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005490725,0.001123623,0.0009261015,0.002855936,0.002937552,0.006555036,0.001538318,0.002145419,0.006775875],"category_scores_gemma":[0.01732767,0.0005077435,0.001853728,0.001299457,0.006197215,0.01095721,0.00534575,0.004332917,0.001889147],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002699755,"about_ca_system_score_gemma":0.001005695,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007138474,"about_ca_topic_score_gemma":0.0005567489,"domain_scores_codex":[0.996801,0.0007467007,0.0002935057,0.0005497035,0.001124456,0.000484625],"domain_scores_gemma":[0.9863494,0.0084969,0.001332442,0.001987744,0.001226027,0.0006074337],"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":[0.00001751417,0.000004612883,0.0002247645,0.00003309309,0.000007342482,0.00003880452,0.0001495117,0.0009672058,0.0002669722,0.9937397,0.00117776,0.003372623],"study_design_scores_gemma":[0.000007343761,0.00001094925,0.0002516733,0.00003211908,0.00001378349,0.0001353168,0.0001169213,0.006631161,0.00220984,0.9844586,0.006102087,0.00003021582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.133845,0.004336136,0.4920699,0.005259701,0.0008046198,0.0002333096,0.0006794819,0.0005149034,0.3622569],"genre_scores_gemma":[0.9068386,0.001823202,0.0674087,0.0009908791,0.000579103,0.0003496048,0.0003492849,0.000189866,0.0214707],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006775875,"threshold_uncertainty_score":0.02903807,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02760015309998062,"score_gpt":0.2868270254014063,"score_spread":0.2592268723014257,"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."}}