{"id":"W2507315201","doi":"10.1016/j.aam.2015.10.003","title":"Characterizing 2-crossing-critical graphs","year":2015,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"University of Waterloo; Javna Agencija za Raziskovalno Dejavnost RS; Natural Sciences and Engineering Research Council of Canada; Consejo Nacional de Ciencia y Tecnología","keywords":"Mathematics; Subdivision; Combinatorics; Crossing number (knot theory); Chordal graph; Indifference graph; Pathwidth; 1-planar graph; Clique-sum; Planar graph; Discrete mathematics; Graph; Line 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":[0.0008223354,0.001018384,0.0006509254,0.004125261,0.001219137,0.002422691,0.001392169,0.001554737,0.007329395],"category_scores_gemma":[0.008009713,0.0007403741,0.0005342102,0.001631848,0.001551575,0.003065698,0.00178521,0.001372341,0.0006136933],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001194692,"about_ca_system_score_gemma":0.0005395655,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009974112,"about_ca_topic_score_gemma":0.001172957,"domain_scores_codex":[0.999423,0.0001088236,0.00002934346,0.0001693002,0.0001601681,0.0001094074],"domain_scores_gemma":[0.9954398,0.002116574,0.0007965335,0.0003532217,0.0006290778,0.0006648411],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0002532973,0.0001811678,0.008227104,0.0003353654,0.00005886763,0.0009136995,0.0009968753,0.0544959,0.01522541,0.8763946,0.007288018,0.03562966],"study_design_scores_gemma":[0.00003125401,0.000065694,0.002216934,0.00006840026,0.00003090324,0.0005684136,0.0004543305,0.1235571,0.004557322,0.8631083,0.005314033,0.00002732085],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6712751,0.0005139106,0.2919577,0.00060916,0.0001135837,0.0001939958,0.0006760813,0.0005276261,0.03413284],"genre_scores_gemma":[0.9466729,0.0003597713,0.04386563,0.0002574327,0.0000998085,0.0001001231,0.001080284,0.0002537441,0.007310337],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007329395,"threshold_uncertainty_score":0.02451932,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02771898456671913,"score_gpt":0.3079163636321328,"score_spread":0.2801973790654137,"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."}}