{"id":"W3002997249","doi":"10.1016/j.jctb.2020.01.002","title":"Maximum number of colourings: 4-chromatic graphs","year":2020,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Javna Agencija za Raziskovalno Dejavnost RS","keywords":"Combinatorics; Conjecture; Chromatic scale; Mathematics; Graph; Discrete mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001099193,0.0002104728,0.0007112292,0.00007775504,0.0001287313,0.00002837713,0.0005394503,0.0001348502,0.0005797744],"category_scores_gemma":[0.001260246,0.0001603322,0.0003615613,0.0002681039,0.0002973881,0.00031087,0.0001417666,0.0003673454,0.000003438946],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002339067,"about_ca_system_score_gemma":0.00006259896,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.121753e-7,"about_ca_topic_score_gemma":8.711469e-8,"domain_scores_codex":[0.9978743,0.0003503883,0.0009479387,0.0001169349,0.0004988625,0.0002115434],"domain_scores_gemma":[0.9974589,0.0007331038,0.001050378,0.0002417884,0.0003389432,0.0001768976],"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":[0.001365433,0.00009765084,0.0004399713,0.0002506798,0.0002346712,0.00003898562,0.003148832,0.000001746008,0.0005902579,0.9921935,0.001442057,0.0001961763],"study_design_scores_gemma":[0.001372108,0.0006279556,0.0000908373,0.00008277249,0.0001511015,0.0001705581,0.0008722395,0.000001582771,0.006935596,0.9877253,0.001809024,0.0001609075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9875976,0.0001352694,0.0002977904,0.0003210712,0.003842718,0.0001532207,0.000007568438,0.00003306638,0.007611673],"genre_scores_gemma":[0.9962007,0.00003369559,0.003052177,0.0001301556,0.0004846503,0.000001513269,3.430632e-7,0.0000345042,0.00006228324],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008603055,"threshold_uncertainty_score":0.6538157,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02009233267625104,"score_gpt":0.2785898590540383,"score_spread":0.2584975263777873,"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."}}