{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001173586,0.0009830194,0.001219628,0.002343428,0.001818696,0.002337303,0.001588888,0.001643508,0.01956283],"category_scores_gemma":[0.005121622,0.0004605376,0.001333734,0.002044616,0.003485358,0.006541502,0.004298382,0.004370579,0.003852396],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001193753,"about_ca_system_score_gemma":0.0009163106,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009400993,"about_ca_topic_score_gemma":0.0007023645,"domain_scores_codex":[0.9986839,0.0002586584,0.00006178832,0.0003871885,0.0004221658,0.0001863629],"domain_scores_gemma":[0.9981757,0.0006380077,0.0002867988,0.000285982,0.0004481121,0.0001654038],"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":[0.00001833848,0.00000897643,0.0001534255,0.00005934068,0.00001195697,0.00003674216,0.00006341251,0.001110194,0.0005169926,0.98588,0.005223086,0.006917581],"study_design_scores_gemma":[0.00001302434,0.00001221262,0.0002225557,0.00001428737,0.000009085639,0.0001178556,0.00003977853,0.003180149,0.0002377731,0.9824844,0.01365574,0.00001311121],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05837723,0.003671376,0.5257445,0.01533662,0.002650448,0.000181,0.001974592,0.0006050828,0.3914591],"genre_scores_gemma":[0.7733001,0.006976741,0.09153615,0.00606694,0.003952463,0.0003416472,0.001732134,0.0006575372,0.1154364],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01956283,"threshold_uncertainty_score":0.06544423,"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."}}