{"id":"W7162661741","doi":"10.20382/jocg.v17i1a3","title":"A logarithmic bound for the chromatic number of the associahedron","year":2025,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; National Science and Technology Council; Canada Research Chairs; McGill University","keywords":"Conjecture; Upper and lower bounds; Chromatic scale; Logarithm; Infimum and supremum","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":[],"consensus_categories":[],"category_scores_codex":[0.002116802,0.001727677,0.001100708,0.002308134,0.002907137,0.004719254,0.00367006,0.002146065,0.02465959],"category_scores_gemma":[0.016404,0.0007162273,0.001693377,0.002281979,0.005004162,0.01400189,0.006232614,0.006928289,0.005963898],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003353699,"about_ca_system_score_gemma":0.001348559,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001775431,"about_ca_topic_score_gemma":0.002272949,"domain_scores_codex":[0.9980085,0.0003197896,0.00006322189,0.0006261126,0.0005564671,0.0004260046],"domain_scores_gemma":[0.9791678,0.01367191,0.0008425692,0.003736143,0.001056449,0.001525137],"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":[0.001145718,0.0003393339,0.008167775,0.0007396591,0.0001085965,0.0004538304,0.0006620136,0.03584514,0.02959622,0.8103952,0.05062412,0.06192236],"study_design_scores_gemma":[0.00006577293,0.0001220806,0.002986619,0.0001578075,0.0001094647,0.0007235413,0.0001206591,0.1192857,0.01040976,0.834348,0.0315445,0.000126076],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2394573,0.005860186,0.4187911,0.0187676,0.00252565,0.0001712638,0.002413758,0.003947851,0.3080654],"genre_scores_gemma":[0.8862263,0.002725526,0.06221465,0.002969638,0.002134073,0.0004519501,0.001446512,0.001278411,0.04055288],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02465959,"threshold_uncertainty_score":0.08249462,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2645431635747708,"score_gpt":0.6018257213749441,"score_spread":0.3372825578001733,"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."}}