{"id":"W2527337933","doi":"10.1090/btran/26","title":"Hyperbolic families and coloring graphs on surfaces","year":2018,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society Series B","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; National Science Foundation","keywords":"Combinatorics; Mathematics; Omega; Graph; List coloring; Complete coloring; Discrete mathematics; Physics; Graph power; Line graph","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":[0.00108033,0.0009193653,0.0005159333,0.002341667,0.001424577,0.002247405,0.001406066,0.001167407,0.01139646],"category_scores_gemma":[0.00448605,0.0005132919,0.0009736504,0.00167039,0.002425771,0.005014222,0.002657888,0.003053555,0.001281573],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002724707,"about_ca_system_score_gemma":0.0006389374,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004458853,"about_ca_topic_score_gemma":0.002958446,"domain_scores_codex":[0.9987213,0.0003474724,0.00004839744,0.0002783697,0.0003464509,0.0002578841],"domain_scores_gemma":[0.9971498,0.001595926,0.0002585802,0.0002389607,0.0004838578,0.0002730032],"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":[0.00001190679,0.000008646924,0.0003061235,0.00003004745,0.00000449908,0.0000427167,0.0001456299,0.003428223,0.0003959993,0.9879165,0.001455461,0.006254348],"study_design_scores_gemma":[0.000007945437,0.00001601463,0.0004186007,0.00002278125,0.000005780765,0.00006824667,0.000197711,0.02712907,0.0005867276,0.9633573,0.008176716,0.00001326622],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2062533,0.001728002,0.6427655,0.003953235,0.0005011132,0.00008494687,0.0007126461,0.0004992224,0.1435021],"genre_scores_gemma":[0.8640367,0.001629122,0.08759831,0.001090782,0.0005528459,0.000165545,0.0008929705,0.0003475641,0.04368621],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01139646,"threshold_uncertainty_score":0.03812498,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0248111067654674,"score_gpt":0.2815711819872797,"score_spread":0.2567600752218123,"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."}}