{"id":"W4380373845","doi":"10.1007/s00493-023-00047-2","title":"The Chromatic Number of the Product of 5-Chromatic Graphs can be 4","year":2023,"lang":"en","type":"article","venue":"COMBINATORICA","topic":"Topological and Geometric Data Analysis","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Chromatic scale; Combinatorics; Product (mathematics); Discrete mathematics; Geometry","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":[0.0006164496,0.0007569427,0.0004069221,0.001955709,0.001435506,0.003031653,0.001203382,0.0009373003,0.02622584],"category_scores_gemma":[0.001678216,0.0003714777,0.0006967464,0.001543269,0.00170443,0.002635276,0.001085114,0.001066461,0.002673263],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001528034,"about_ca_system_score_gemma":0.0008507967,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002157108,"about_ca_topic_score_gemma":0.00447058,"domain_scores_codex":[0.9993126,0.00008359671,0.00003451829,0.0002341292,0.0001626369,0.0001724491],"domain_scores_gemma":[0.9981918,0.0007570009,0.0002718152,0.0002586854,0.0002916883,0.0002291419],"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":[0.0008169313,0.0002230279,0.01904353,0.000375985,0.0001539491,0.0005333921,0.0009121526,0.01157192,0.03915078,0.8320693,0.01336878,0.0817803],"study_design_scores_gemma":[0.000107125,0.0003277752,0.03705642,0.0002071063,0.000300984,0.001656141,0.001380903,0.06689514,0.04077203,0.736534,0.1145504,0.0002120953],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8030462,0.0005836445,0.06834085,0.001187678,0.0003357818,0.0001157962,0.002697477,0.0006473375,0.1230452],"genre_scores_gemma":[0.9387804,0.0004230629,0.02642894,0.0001506809,0.00009734512,0.0001179567,0.001993952,0.0001659637,0.03184164],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02622584,"threshold_uncertainty_score":0.08773416,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01730803608701635,"score_gpt":0.2537779589324572,"score_spread":0.2364699228454409,"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."}}