{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000983505,0.0007235149,0.0006555477,0.002967899,0.00138426,0.00303223,0.001966079,0.001128185,0.06797997],"category_scores_gemma":[0.01128915,0.0004809304,0.0006792552,0.002174015,0.001380211,0.004922978,0.001500854,0.002130817,0.0142675],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001525452,"about_ca_system_score_gemma":0.0007818137,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002102694,"about_ca_topic_score_gemma":0.002435534,"domain_scores_codex":[0.9992405,0.0001593953,0.00003817764,0.0001938989,0.0002613371,0.0001065786],"domain_scores_gemma":[0.9959123,0.002125199,0.0002751758,0.000529299,0.0008544527,0.0003035946],"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":[0.0001005938,0.00006581919,0.001618698,0.0002623067,0.00002225787,0.0001070867,0.0003064239,0.003867791,0.001581754,0.8362569,0.1069839,0.04882652],"study_design_scores_gemma":[0.00002270606,0.00003137979,0.003271015,0.0001460023,0.000029315,0.0006832201,0.0002172956,0.03087248,0.003046143,0.8782838,0.08335227,0.00004433906],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08757368,0.002836458,0.5347022,0.004629516,0.001156908,0.000268406,0.0159497,0.003451274,0.3494319],"genre_scores_gemma":[0.6612852,0.003856289,0.1742412,0.001162667,0.001387123,0.0006659231,0.0148257,0.004215797,0.1383601],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.06797997,"threshold_uncertainty_score":0.2274156,"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."}}