{"id":"W4238395855","doi":"10.5948/upo9780883859568.002","title":"Combinatorics Problems","year":2001,"lang":"en","type":"book-chapter","venue":"Anneli Lax new mathematical library","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"CONTEST; Competition (biology); Mathematics education; History; Mathematics; Geography; Political science; Law","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":[0.0009597524,0.001156554,0.0009685955,0.001981081,0.003626717,0.007222506,0.00171965,0.002045291,0.05682284],"category_scores_gemma":[0.004222253,0.000428205,0.001129956,0.003397253,0.003353216,0.009056475,0.00321528,0.004495174,0.01669381],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003111318,"about_ca_system_score_gemma":0.001803664,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001399429,"about_ca_topic_score_gemma":0.00174481,"domain_scores_codex":[0.9984219,0.0003413623,0.00008839876,0.0004199137,0.0005624924,0.0001658685],"domain_scores_gemma":[0.9980678,0.001053521,0.0001138768,0.0003427211,0.0002648731,0.0001572451],"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":[0.00001141091,0.00001719783,0.00009658215,0.0001245536,0.00001056908,0.00005063881,0.0001311581,0.00034412,0.00009123874,0.9273258,0.04982854,0.02196817],"study_design_scores_gemma":[0.00000741526,0.000004235472,0.0001249616,0.0000510848,0.000005228963,0.000177801,0.0000892931,0.0004879355,0.00009690734,0.8028158,0.196134,0.000005383168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.008883694,0.01644931,0.04555168,0.01950645,0.002233339,0.0000812033,0.001799487,0.0003368757,0.9051579],"genre_scores_gemma":[0.2378754,0.03509755,0.05114229,0.006943624,0.007218905,0.000405968,0.006621774,0.0007232517,0.6539713],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.05682284,"threshold_uncertainty_score":0.1900913,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04518850154714928,"score_gpt":0.254000077133811,"score_spread":0.2088115755866617,"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."}}