{"id":"W2140299153","doi":"10.46298/dmtcs.3426","title":"Pairwise Intersections and Forbidden Configurations","year":2005,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Conjecture; Intersection (aeronautics); Bar (unit); Stability theorem; Mathematical analysis; Physics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001149296,0.0005733892,0.0007708083,0.002742402,0.00389331,0.003534646,0.00244227,0.001146674,0.01237102],"category_scores_gemma":[0.01033605,0.0009064435,0.001170514,0.003002417,0.00331841,0.005153806,0.00473605,0.002467707,0.001327652],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002054009,"about_ca_system_score_gemma":0.0009453199,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0014167,"about_ca_topic_score_gemma":0.001113477,"domain_scores_codex":[0.9973522,0.0006268924,0.000153812,0.000683761,0.0006621882,0.0005210583],"domain_scores_gemma":[0.9897363,0.006340908,0.001118906,0.001056296,0.0007336085,0.001013975],"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":[0.0002401855,0.00005625234,0.004278098,0.0001289499,0.00005888586,0.0002562984,0.0006897053,0.008799607,0.002509165,0.9645755,0.0044643,0.0139431],"study_design_scores_gemma":[0.00004516672,0.00005707965,0.001473311,0.00003588561,0.0000405397,0.0007752411,0.0005238227,0.03078524,0.003636559,0.9518799,0.01070297,0.00004429261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7602245,0.0008127149,0.1373995,0.002196379,0.0001273729,0.0001164823,0.002600334,0.0007784266,0.09574442],"genre_scores_gemma":[0.9597372,0.0002797759,0.03069902,0.0002407267,0.00009043684,0.0002678153,0.001678031,0.0001459391,0.006861005],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01237102,"threshold_uncertainty_score":0.04138523,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01968571883002171,"score_gpt":0.2905213732298639,"score_spread":0.2708356543998421,"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."}}