{"id":"W1613467653","doi":"10.1016/j.jctb.2015.12.005","title":"Five-list-coloring graphs on surfaces II. A linear bound for critical graphs in a disk","year":2015,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Combinatorics; Mathematics; Lemma (botany); Conjecture; Isoperimetric inequality; Graph; Vertex (graph theory); Induced subgraph; Discrete mathematics; Botany","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":[0.004736831,0.0002571454,0.0005462957,0.0005580536,0.0002907077,0.0002009203,0.001440388,0.0001336954,0.000007792735],"category_scores_gemma":[0.004007217,0.0002183952,0.0002589724,0.0008781544,0.0004627538,0.001774124,0.0003194044,0.0006335,0.000003099269],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001463913,"about_ca_system_score_gemma":0.000319484,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005003213,"about_ca_topic_score_gemma":0.000004993215,"domain_scores_codex":[0.996945,0.0006294807,0.0006922315,0.0003245935,0.0008207961,0.0005878707],"domain_scores_gemma":[0.9960399,0.002039525,0.0002761579,0.0004649899,0.0007977947,0.0003816361],"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":[0.003586187,0.0003299658,0.0002083039,0.00002358599,0.0000392944,0.00008900195,0.001416427,0.000301501,0.0002989485,0.9928947,0.0002345324,0.0005775522],"study_design_scores_gemma":[0.002714557,0.004287254,0.00008267038,0.0001052575,0.00001151378,0.00006001597,0.0005266882,0.0003509152,0.002718857,0.9846892,0.004218965,0.000234087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9659052,0.0006801139,0.01821566,0.001795251,0.01150793,0.0005449712,0.00001339891,0.00008148472,0.001255972],"genre_scores_gemma":[0.9917941,0.00004484393,0.007572644,0.00008512567,0.0002817899,0.00002375942,7.462525e-7,0.0000276346,0.0001693382],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0258889,"threshold_uncertainty_score":0.8905898,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03375763738234808,"score_gpt":0.3304632292392484,"score_spread":0.2967055918569003,"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."}}