{"id":"W2962774723","doi":"","title":"Dual Circumference and Collinear Sets","year":2018,"lang":"en","type":"article","venue":"arXiv (Cornell University)","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University; University of Ottawa","funders":"","keywords":"Combinatorics; Vertex (graph theory); Circumference; Mathematics; Planar graph; Degree (music); Graph; Triangulation; Discrete mathematics; Geometry; Physics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.00009406278,0.00006478112,0.00005838202,0.00008550072,0.0001627976,0.00005328439,0.0001915499,0.00003211116,0.00002198926],"category_scores_gemma":[0.00001662656,0.00007359398,0.00001762027,0.0005401854,0.00007340837,0.0003634771,0.000137619,0.00004374571,0.00009116803],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001962339,"about_ca_system_score_gemma":0.00004898802,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009985791,"about_ca_topic_score_gemma":0.000012953,"domain_scores_codex":[0.9994452,0.00003291721,0.00005532247,0.0003066571,0.00004238457,0.0001175158],"domain_scores_gemma":[0.9995461,0.00004701715,0.00003218289,0.0001839235,0.0001133755,0.00007743957],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0000185909,0.00005752543,0.003166425,0.000007858948,0.00002255289,0.00008884575,0.00038817,0.008056642,0.0009816067,0.9771214,0.001079781,0.009010667],"study_design_scores_gemma":[0.0003788075,0.000143636,0.01091246,0.000006292674,0.000007692587,0.00002186071,0.00002339646,0.95524,0.001335374,0.02861608,0.003143237,0.0001711429],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5040672,0.000009878061,0.4943686,0.00007187243,0.0001158388,0.00003459979,0.000001083599,0.00004619468,0.00128469],"genre_scores_gemma":[0.9960407,0.0000131002,0.002927358,0.000139215,0.00007190854,9.718682e-8,0.000002098157,0.000002133853,0.0008033782],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9485053,"threshold_uncertainty_score":0.3001075,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0641297881983234,"score_gpt":0.1840716456239478,"score_spread":0.1199418574256244,"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."}}