{"id":"W2290756947","doi":"10.1017/cbo9781316414958","title":"Erdős–Ko–Rado Theorems: Algebraic Approaches","year":2015,"lang":"en","type":"book","venue":"Cambridge University Press eBooks","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":117,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina; University of Waterloo","funders":"","keywords":"Mathematical proof; Association scheme; Algebraic number; Intersection (aeronautics); Mathematics; Scheme (mathematics); Generalization; Discrete mathematics; Algebraic properties; Focus (optics); Combinatorics; Computer science; Algebra over a field; Pure mathematics; Geography; Geometry","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":[0.001294218,0.0008072967,0.0007564307,0.002425444,0.001938915,0.004520578,0.001111531,0.001157374,0.009712214],"category_scores_gemma":[0.002501193,0.0005435764,0.000658293,0.003180312,0.004110612,0.00947034,0.002142797,0.004438301,0.003477834],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003159687,"about_ca_system_score_gemma":0.0009050524,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007373003,"about_ca_topic_score_gemma":0.0007669404,"domain_scores_codex":[0.9992212,0.0001603382,0.00003679667,0.0001174177,0.0004026795,0.00006145675],"domain_scores_gemma":[0.9990898,0.0004991296,0.00008243948,0.00011379,0.0001632928,0.00005152352],"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":[0.000002990798,0.000004326319,0.00002422661,0.00006064187,0.000002587175,0.00001469735,0.00008646436,0.0002901248,0.00008017355,0.9832622,0.006761032,0.009410633],"study_design_scores_gemma":[0.000003717956,0.000007743625,0.0001052576,0.00007356552,0.000005268977,0.0001090083,0.0001157948,0.0008707928,0.0001717703,0.8217135,0.1768146,0.000008899327],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.007337367,0.07953859,0.1437351,0.01361279,0.003007567,0.0000739697,0.0004116667,0.0003272054,0.7519557],"genre_scores_gemma":[0.3058379,0.2098007,0.1326734,0.006575878,0.009052022,0.0004062228,0.0007308433,0.0005507543,0.3343723],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009712214,"threshold_uncertainty_score":0.03249061,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05932091638277751,"score_gpt":0.2304805378386378,"score_spread":0.1711596214558603,"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."}}