{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009534378,0.001552881,0.001064945,0.003010324,0.002914411,0.005612418,0.004126397,0.001859774,0.02723536],"category_scores_gemma":[0.007300459,0.0008291857,0.001190022,0.0027448,0.002905449,0.007502744,0.003442796,0.004167536,0.004043096],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004082581,"about_ca_system_score_gemma":0.001367084,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004640507,"about_ca_topic_score_gemma":0.008005175,"domain_scores_codex":[0.9987962,0.0001764928,0.00003983027,0.0002716413,0.0002629305,0.0004528246],"domain_scores_gemma":[0.9906073,0.005861557,0.0005285775,0.0009187153,0.0007683404,0.001315607],"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":[0.0006902611,0.0003318697,0.004457011,0.0008565504,0.00007700753,0.0004356334,0.001052532,0.02710839,0.01193114,0.8662379,0.04468648,0.04213519],"study_design_scores_gemma":[0.00008378054,0.0001164125,0.002572543,0.0001669101,0.0001395218,0.000464483,0.0008857106,0.1113865,0.008098696,0.8596881,0.01631939,0.00007797254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4506683,0.005538031,0.2171474,0.0114569,0.0008534973,0.0002898376,0.001939879,0.002699189,0.309407],"genre_scores_gemma":[0.9101523,0.002144272,0.047977,0.001947777,0.0007087035,0.0002144858,0.001523726,0.0009512215,0.03438048],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02723536,"threshold_uncertainty_score":0.09111136,"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."}}