{"id":"W1970577301","doi":"10.1016/j.dam.2014.02.008","title":"Number of lines in hypergraphs","year":2014,"lang":"en","type":"article","venue":"Discrete Applied Mathematics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"Google (Canada); Concordia University","funders":"Concordia University; Canada Research Chairs","keywords":"Hypergraph; Mathematics; Combinatorics; Upper and lower bounds; Line (geometry); Chen; Discrete mathematics; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009906802,0.0005732682,0.0009512333,0.003396788,0.002176644,0.005307327,0.002115462,0.00191332,0.0213074],"category_scores_gemma":[0.008777482,0.0008377088,0.0005695069,0.002895423,0.002188473,0.008908629,0.001302539,0.001897335,0.00190228],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001220301,"about_ca_system_score_gemma":0.0004698434,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004736138,"about_ca_topic_score_gemma":0.0006171927,"domain_scores_codex":[0.998615,0.0004247291,0.00008707233,0.0003560819,0.0003228174,0.0001943125],"domain_scores_gemma":[0.9855875,0.008980989,0.001783803,0.0008212299,0.001147948,0.001678538],"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":[0.0004548629,0.0001414924,0.006508453,0.0002965223,0.00006897299,0.0002713309,0.0007449659,0.006014463,0.006100369,0.9421597,0.009709587,0.02752923],"study_design_scores_gemma":[0.00009714765,0.00006954539,0.002593851,0.00007950722,0.0000625864,0.0005112523,0.0004619669,0.02088767,0.002457415,0.964851,0.007897735,0.00003041756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.761085,0.001032098,0.1471002,0.003998969,0.0003792243,0.0001292399,0.002422618,0.0009861195,0.08286648],"genre_scores_gemma":[0.9243188,0.0007441448,0.0418209,0.000488364,0.0004681023,0.0002653406,0.001356194,0.0003309372,0.03020724],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0213074,"threshold_uncertainty_score":0.07128036,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01583011199010476,"score_gpt":0.2953630191365015,"score_spread":0.2795329071463967,"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."}}