{"id":"W2952421026","doi":"10.48550/arxiv.0804.1041","title":"On the Stretch Factor of Convex Delaunay Graphs","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Combinatorics; Mathematics; Voronoi diagram; Delaunay triangulation; Dual graph; Weighted Voronoi diagram; Regular polygon; Convex set; Euclidean distance; Euclidean geometry; Convex body; Convex hull; Graph; Planar graph; Geometry; Convex optimization","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":[0.0001628247,0.0002056981,0.0002287863,0.0001524875,0.0001204566,0.0000456093,0.0009890511,0.0001441331,0.00008934274],"category_scores_gemma":[0.0001064218,0.000152393,0.0001708492,0.0003333811,0.00007740263,0.00009351548,0.0005242418,0.000397149,0.00007809267],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002923083,"about_ca_system_score_gemma":0.0001879895,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002764633,"about_ca_topic_score_gemma":0.000003821923,"domain_scores_codex":[0.9985332,0.0001181504,0.0003154135,0.0004572636,0.0004020105,0.0001739764],"domain_scores_gemma":[0.9982959,0.0003899404,0.0002522077,0.0007972112,0.0002047021,0.00006002198],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.00009252996,0.00122784,0.1944299,0.0003594859,0.0009320031,0.00009996083,0.00960036,0.06967503,0.006576111,0.6102542,0.0254632,0.08128939],"study_design_scores_gemma":[0.0008092663,0.000445827,0.6746042,0.0002973073,0.00004675867,0.00003086502,0.0000567726,0.1459721,0.066803,0.1056569,0.004007034,0.001270023],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9544337,0.0001482954,0.04263749,0.0009362011,0.000979917,0.0002409736,0.00001877675,0.00006653035,0.0005380781],"genre_scores_gemma":[0.99792,0.0001028681,0.001182178,0.0004992845,0.00009120358,0.00002257557,0.00002699964,0.000009134615,0.0001457832],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5045972,"threshold_uncertainty_score":0.6214405,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06281456578218414,"score_gpt":0.2655311793329501,"score_spread":0.2027166135507659,"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."}}