{"id":"W1558652429","doi":"10.1002/jgt.21846","title":"Mixing Homomorphisms, Recolorings, and Extending Circular Precolorings","year":2014,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"Thompson Rivers University; Natural Sciences and Engineering Research Council of Canada","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Homomorphism; Combinatorics; Corollary; Mixing (physics); Homotopy; Vertex (graph theory); Extension (predicate logic); Discrete mathematics; Graph; Pure 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008891124,0.0002105738,0.0001896069,0.0007103356,0.0007908714,0.0009538447,0.0006261712,0.0003641663,0.003712627],"category_scores_gemma":[0.002295379,0.0002538902,0.0003979015,0.0004401132,0.001789241,0.002542093,0.001878445,0.001115771,0.0002859718],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005275586,"about_ca_system_score_gemma":0.0002580344,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000572909,"about_ca_topic_score_gemma":0.0005194328,"domain_scores_codex":[0.9993875,0.0001313627,0.00002763124,0.0002117235,0.0001180619,0.0001236447],"domain_scores_gemma":[0.9974782,0.0009744359,0.0002893721,0.0006594062,0.000273289,0.0003252747],"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":[0.0001492241,0.0000704081,0.002369261,0.00007703258,0.00001410907,0.0002041196,0.0008746063,0.003685734,0.01729086,0.9458685,0.0006260939,0.02877016],"study_design_scores_gemma":[0.00003324472,0.0002144322,0.003509688,0.0000358666,0.00003697271,0.0008235149,0.0007294539,0.03075006,0.03320533,0.9090756,0.02154054,0.00004515765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7173813,0.0004397026,0.2438297,0.0004596939,0.0000712017,0.00005318109,0.0001003952,0.0004488227,0.03721595],"genre_scores_gemma":[0.9724185,0.0001304262,0.02333197,0.00008314703,0.00003600258,0.0000259398,0.0000570512,0.00003165814,0.003885284],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003712627,"threshold_uncertainty_score":0.01241994,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02247292266172958,"score_gpt":0.2810760398639245,"score_spread":0.258603117202195,"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."}}