{"id":"W1979091665","doi":"10.1016/j.jctb.2010.06.001","title":"The number of points in a matroid with no n-point line as a minor","year":2010,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Matroid; Minor (academic); Combinatorics; Rank (graph theory); Mathematics; Prime power; Line (geometry); Integer (computer science); Point (geometry); Prime (order theory); Projective plane; Oriented matroid; Discrete mathematics; Graphic matroid; Geometry; Computer science; Humanities","routes":{"ca_aff":true,"ca_fund":true,"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":[0.003559884,0.0001662334,0.00035579,0.0001420995,0.0001264149,0.000112619,0.001599329,0.0000788855,0.00007814183],"category_scores_gemma":[0.001110445,0.00009922233,0.0001225224,0.0005301238,0.0004808045,0.0009691399,0.0002588766,0.0008479827,0.00002648232],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003338066,"about_ca_system_score_gemma":0.0002875961,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000436233,"about_ca_topic_score_gemma":0.000008336508,"domain_scores_codex":[0.9978074,0.0004228867,0.0005989714,0.0001629375,0.0006663649,0.0003414401],"domain_scores_gemma":[0.9969411,0.0009864406,0.000542253,0.0006091971,0.0007798194,0.0001411639],"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":[0.003329225,0.0001484306,0.0005264016,0.00001122781,0.00004054846,0.00008588229,0.0004621675,0.000005014519,0.00380939,0.9901748,0.00005540794,0.001351472],"study_design_scores_gemma":[0.00173057,0.001074098,0.0002721618,0.00005597271,0.000006225313,0.0006453151,0.0001754063,0.00002548071,0.01403331,0.9778657,0.003994471,0.0001212859],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9817357,0.0000974929,0.005162324,0.001413142,0.005097996,0.0002647615,0.000001862208,0.00002316333,0.006203531],"genre_scores_gemma":[0.9875244,0.00004303265,0.0114384,0.00005047418,0.0003241333,0.000006521148,1.532137e-7,0.00001975635,0.0005930774],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01230913,"threshold_uncertainty_score":0.4046169,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005835806336886248,"score_gpt":0.2729084519733755,"score_spread":0.2670726456364893,"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."}}