{"id":"W2528549426","doi":"10.1002/jgt.10032","title":"A Ramsey‐type problem and the Turán numbers*","year":2002,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"Royal College of Physicians and Surgeons of Canada; University of Toronto; Mount Royal University; University of Calgary","funders":"","keywords":"Combinatorics; Mathematics; Ramsey's theorem; Omega; Graph; Constant (computer programming); Type (biology); Asymptotically optimal algorithm; Discrete mathematics; Physics; Algorithm","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":[],"consensus_categories":[],"category_scores_codex":[0.00270133,0.0001685908,0.0003826631,0.0001439685,0.0002844605,0.00005374645,0.0003603859,0.00009428302,0.0003530095],"category_scores_gemma":[0.0005898055,0.00008509702,0.0002629527,0.0002322039,0.0006190526,0.0001407577,0.00008207694,0.0004752276,0.00000347444],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000114459,"about_ca_system_score_gemma":0.000009869171,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001115896,"about_ca_topic_score_gemma":0.000001089423,"domain_scores_codex":[0.9983592,0.00050111,0.0005121379,0.0001102319,0.0003077805,0.0002095541],"domain_scores_gemma":[0.9974791,0.001499759,0.0004692967,0.0002876892,0.0001707604,0.00009339482],"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":[0.0004392306,0.00004719657,0.000161027,0.00003690482,0.0002187542,0.00002161182,0.004683301,0.000001409,0.0000410643,0.9846625,0.005683714,0.004003288],"study_design_scores_gemma":[0.001655832,0.000119041,0.00008981614,0.00006451033,0.0001575723,0.0006846287,0.0005653069,0.00001601908,0.00005466308,0.9932783,0.003200168,0.000114149],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9028156,0.01390637,0.001374301,0.002091313,0.001530307,0.0005394249,0.000004790099,0.00006104912,0.07767686],"genre_scores_gemma":[0.9936686,0.0009097892,0.003639696,0.0004637432,0.0002567654,0.000002034625,8.834222e-8,0.00002660381,0.00103272],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09085298,"threshold_uncertainty_score":0.3865207,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02397045004073927,"score_gpt":0.2582483936007842,"score_spread":0.2342779435600449,"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."}}