{"id":"W2404506644","doi":"","title":"On the Four Color Ramsey Numbers for Hexagons.","year":2013,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Arithmetic","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000405053,0.000135638,0.0001326324,0.00004846322,0.0002911629,0.0002127099,0.0007850566,0.00006536981,0.00003415111],"category_scores_gemma":[0.0001844839,0.00009052589,0.00009051636,0.0002809043,0.00005650509,0.0001875655,0.0001225907,0.0001308225,0.0004850142],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002231425,"about_ca_system_score_gemma":0.00004360794,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000757907,"about_ca_topic_score_gemma":0.000001729823,"domain_scores_codex":[0.9988985,0.00006647506,0.0001806366,0.0003084214,0.0002251075,0.0003208272],"domain_scores_gemma":[0.9983242,0.000674223,0.0000790331,0.0006549861,0.0001652618,0.0001022663],"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":[0.000002690626,0.00005100568,0.00006781065,0.000003147667,0.00001237301,7.566791e-7,0.000101903,0.00001560626,0.0002468451,0.9053598,0.09340207,0.0007360161],"study_design_scores_gemma":[0.000561374,0.0001699815,0.0002515624,0.00001522597,0.000004103827,0.000002804515,0.00001924051,0.00862178,0.0009210563,0.986869,0.00243053,0.0001333882],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9778374,0.00005037972,0.000936428,0.01318493,0.003508232,0.000863663,0.000001492124,0.0002611766,0.003356335],"genre_scores_gemma":[0.9935006,0.000002990467,0.002895277,0.002724692,0.000001732854,0.0002257565,0.000001170542,0.00001228399,0.0006354573],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09097153,"threshold_uncertainty_score":0.6234038,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01842979832304235,"score_gpt":0.2232238053011929,"score_spread":0.2047940069781505,"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."}}