{"id":"W2248416884","doi":"10.1002/jgt.22133","title":"On the Minimum Edge‐Density of 4‐Critical Graphs of Girth Five","year":2017,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; Natural Sciences and Engineering Research Council of Canada","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Corollary; Combinatorics; Klein bottle; Graph; Odd graph; Girth (graph theory); Torus; Discrete mathematics; Chordal graph; 1-planar 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":[0.0008438335,0.0005935851,0.0009943604,0.002840748,0.001491227,0.001658075,0.0015773,0.0009961729,0.003825941],"category_scores_gemma":[0.0081662,0.0007431435,0.0004351004,0.0009479952,0.002724105,0.002240319,0.001898824,0.0009753811,0.0002922645],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001335808,"about_ca_system_score_gemma":0.000460777,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001338836,"about_ca_topic_score_gemma":0.00103301,"domain_scores_codex":[0.9995021,0.0001640488,0.00001658956,0.00009866136,0.000096483,0.0001221331],"domain_scores_gemma":[0.9937788,0.004023314,0.0006146728,0.0002583358,0.0004924929,0.0008323226],"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":[0.0006479614,0.0001034295,0.01068862,0.0004339459,0.0001097752,0.000585961,0.0009425557,0.04142728,0.01786845,0.9065807,0.00543821,0.01517307],"study_design_scores_gemma":[0.00009150356,0.0001034916,0.005946947,0.0001333061,0.00008026659,0.0007296556,0.0005842597,0.154123,0.007433471,0.8270042,0.003705036,0.00006483113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.943856,0.0008531187,0.04190297,0.000733336,0.0000473389,0.0000436396,0.0002175914,0.0001407235,0.01220533],"genre_scores_gemma":[0.9907736,0.0003652133,0.007436982,0.0001036672,0.00005181752,0.00005094785,0.0001701846,0.00004875462,0.0009988151],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003825941,"threshold_uncertainty_score":0.01279902,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02565414147750236,"score_gpt":0.317038686660317,"score_spread":0.2913845451828146,"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."}}