{"id":"W1587885651","doi":"10.1007/978-3-540-46515-7_5","title":"On the Existente of a Point Subset with 4 or 5 Interior Points","year":2000,"lang":"en","type":"book-chapter","venue":"Lecture notes in computer science","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Convex hull; Integer (computer science); Combinatorics; Point (geometry); Interior point method; Set (abstract data type); Plane (geometry); Boundary (topology); Planar; Regular polygon; Mathematics; Hull; Geometry; Discrete mathematics; Computer science; Algorithm; Mathematical analysis; Computer graphics (images)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001644936,0.000739266,0.001461181,0.002406982,0.002510444,0.002889239,0.001492769,0.002045744,0.01102843],"category_scores_gemma":[0.00785256,0.001078717,0.001850309,0.0020043,0.004233748,0.005880963,0.004636651,0.003680409,0.001402911],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006257739,"about_ca_system_score_gemma":0.0004897843,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000921338,"about_ca_topic_score_gemma":0.0009366535,"domain_scores_codex":[0.9991993,0.0001447883,0.00006691035,0.0002301276,0.0002325553,0.0001263419],"domain_scores_gemma":[0.9939404,0.004279733,0.0003489038,0.0005481367,0.0005181202,0.0003646879],"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":[0.001312192,0.0001574445,0.005978437,0.0005130828,0.00008263728,0.001262975,0.001414422,0.01409194,0.01039213,0.891965,0.008386698,0.06444304],"study_design_scores_gemma":[0.00008554308,0.000297299,0.00366297,0.0003066755,0.0001608222,0.002099985,0.00143747,0.06750149,0.008577043,0.8951385,0.02066701,0.00006518682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5113268,0.002578004,0.2858576,0.002778684,0.0004330972,0.0001900027,0.001250476,0.0003795162,0.1952057],"genre_scores_gemma":[0.7961816,0.002635731,0.1524457,0.0005137895,0.0005139874,0.0002947245,0.00281318,0.0003334923,0.04426769],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01102843,"threshold_uncertainty_score":0.03689378,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02057874855930454,"score_gpt":0.2412323724883734,"score_spread":0.2206536239290688,"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."}}