{"id":"W4400887743","doi":"10.1016/j.jctb.2024.07.001","title":"The Erdős-Gyárfás function <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:mi>f</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mn>4</mml:mn><mml:mo>,</mml:mo><mml:mn>5</mml:mn><mml:mo stretchy=\"false\">)</mml:mo><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">=</mml:mo><mml:mfrac><mml:mrow><mml:mn>5</mml:mn></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:mfrac><mml:mi>n</mml:mi><mml:mo linebreak=\"goodbreak\" linebreakstyle=\"after\">+</mml:mo><mml:mi>o</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>n</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math> — So Gyárfás was right","year":2024,"lang":"lv","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Mathematics; Combinatorics","routes":{"ca_aff":true,"ca_fund":true,"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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002568129,0.002215978,0.001476672,0.002860971,0.0009878677,0.00386207,0.003368634,0.001818284,0.3208776],"category_scores_gemma":[0.00966117,0.001264594,0.002115553,0.003147551,0.0006424105,0.003944719,0.00297293,0.002518853,0.2901893],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002404048,"about_ca_system_score_gemma":0.002221504,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004818161,"about_ca_topic_score_gemma":0.005302481,"domain_scores_codex":[0.9983414,0.0003374206,0.0001219566,0.0002551633,0.0007836388,0.00016024],"domain_scores_gemma":[0.9978697,0.0005525162,0.0001295017,0.0006000731,0.000664655,0.0001834589],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002954843,0.00005198535,0.0008575239,0.0004813237,0.00005367596,0.0001477483,0.0001074279,0.006768171,0.001206946,0.03356379,0.8679811,0.08848479],"study_design_scores_gemma":[0.0001332501,0.00003473191,0.0005205419,0.0001098044,0.00002725019,0.0002669377,0.00005456728,0.01346927,0.006028953,0.02773837,0.9515625,0.00005376066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.003415882,0.001390034,0.3934233,0.003230559,0.001631232,0.0004285932,0.1094056,0.2515317,0.2355431],"genre_scores_gemma":[0.06446309,0.003463981,0.3113327,0.002267892,0.0008404147,0.001777624,0.1892089,0.1509327,0.2757128],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.3208776,"threshold_uncertainty_score":0.9686857,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01501190542327529,"score_gpt":0.2532564712360743,"score_spread":0.238244565812799,"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."}}