{"id":"W2161040448","doi":"10.1016/j.jctb.2010.09.001","title":"The edge-density for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:math> minors","year":2010,"lang":"lv","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Graph theory and applications","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Conjecture; Combinatorics; Bipartite graph; Mathematics; Graph; Vertex (graph theory); Discrete mathematics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.006199726,0.001042268,0.0005956627,0.0005001352,0.003640142,0.001914657,0.003265577,0.002592733,0.0751439],"category_scores_gemma":[0.004615697,0.001655442,0.00288273,0.001117541,0.00289184,0.001846379,0.001642088,0.002983061,0.001071827],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002610008,"about_ca_system_score_gemma":0.001819057,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002500137,"about_ca_topic_score_gemma":0.0005140413,"domain_scores_codex":[0.9901335,0.000911337,0.002739214,0.001342335,0.002529023,0.002344543],"domain_scores_gemma":[0.9863508,0.005089802,0.004056654,0.002663885,0.000569427,0.001269459],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.004526382,0.0005847458,0.000007002842,0.0007899318,0.001903343,0.0003989648,0.002470749,0.0001402705,0.004302559,0.790733,0.1928129,0.00133017],"study_design_scores_gemma":[0.003115276,0.002471025,0.00002772729,0.0008575764,0.00228083,0.001914109,0.003609165,0.002040497,0.8045479,0.1574577,0.02020273,0.001475455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.836641,0.0009714217,0.0008272163,0.001243283,0.01256266,0.0001137219,0.0003386351,0.000206412,0.1470956],"genre_scores_gemma":[0.9882417,0.001040577,0.002254796,0.0009044633,0.005228567,0.0007529298,0.0002559981,0.0007616553,0.0005592664],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8002453,"threshold_uncertainty_score":0.9998217,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01548249841739554,"score_gpt":0.2446875353190324,"score_spread":0.2292050369016368,"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."}}