{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007260084,0.0006507706,0.0006828691,0.0005761478,0.0003390713,0.0002202565,0.005188789,0.0005567171,0.000002399957],"category_scores_gemma":[0.00005937321,0.0007193022,0.0003475058,0.0001016923,0.0008913861,0.0005595672,0.003144562,0.001234817,0.00008634831],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007751525,"about_ca_system_score_gemma":0.001170753,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002195015,"about_ca_topic_score_gemma":0.000001246131,"domain_scores_codex":[0.9960293,0.0004312869,0.0002782691,0.00137395,0.001015045,0.0008722203],"domain_scores_gemma":[0.9959971,0.0002888986,0.0003077984,0.002438084,0.0003739395,0.0005941307],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00005954475,0.00002337286,7.329793e-7,0.00007920051,0.0001216,0.0003633802,0.0001697212,0.00001328325,0.000008612105,0.8606188,0.1337383,0.004803417],"study_design_scores_gemma":[0.000852235,0.0001216033,0.000003468793,0.0001228961,0.00006799449,0.00005553105,0.00006945406,0.001400353,0.0002584126,0.007663958,0.9884852,0.0008988889],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00002247701,0.0004807569,0.0759391,0.00003830004,0.0003297187,0.0007141635,0.0001146073,0.0005530842,0.9218078],"genre_scores_gemma":[0.000388478,0.00003898604,0.002941602,0.00006899977,0.0002003361,0.000004048063,0.00006494254,0.00007549807,0.9962171],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.8547469,"threshold_uncertainty_score":0.9995258,"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."}}