{"id":"W1982842138","doi":"10.1016/j.aam.2014.02.002","title":"A geometric version of the Andrásfai–Erdős–Sós Theorem","year":2014,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Office of Naval Research","keywords":"Mathematics; Combinatorics; Matroid; Integer (computer science); Rank (graph theory); Binary number; Discrete mathematics; Simple (philosophy); Graphic matroid; Affine transformation; Graph; Upper and lower bounds; Geometry; Arithmetic; Mathematical analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.000970832,0.0001512507,0.0002669382,0.0002722738,0.00008882,0.00002667769,0.001720614,0.00005519916,0.000009298698],"category_scores_gemma":[0.0003863653,0.0001022312,0.00006713055,0.002072851,0.0002302802,0.0002569348,0.0005906082,0.0002177473,0.00003373774],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004066593,"about_ca_system_score_gemma":0.00002356492,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.135512e-7,"about_ca_topic_score_gemma":0.00000275707,"domain_scores_codex":[0.9984398,0.00005504675,0.0003558582,0.0002897253,0.0005335209,0.0003260207],"domain_scores_gemma":[0.9974132,0.001175186,0.000225,0.001089064,0.00004705151,0.00005045049],"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":[0.000007841009,0.00008605768,0.0002500674,0.0001208015,0.000002789568,4.24524e-7,0.0003205236,0.0007282062,0.0007244087,0.9558498,0.00001698956,0.04189204],"study_design_scores_gemma":[0.0004639005,0.0000411807,0.000195191,0.00006517913,0.000003406314,0.000004317675,0.0001275174,0.01044592,0.01482423,0.9702842,0.003400756,0.0001442501],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01613709,0.0003620299,0.9336044,0.00008230834,0.0001705497,0.0004206869,0.000001941645,0.00006747703,0.04915357],"genre_scores_gemma":[0.8180103,0.00009803245,0.1817268,0.00005005515,0.00001611047,0.00002697163,4.050762e-7,0.00001285786,0.00005847489],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8018733,"threshold_uncertainty_score":0.4168869,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00964440343855563,"score_gpt":0.2692203123829219,"score_spread":0.2595759089443663,"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."}}