{"id":"W2010561968","doi":"10.1007/s00453-009-9357-5","title":"Crossing Number and Weighted Crossing Number of Near-Planar Graphs","year":2009,"lang":"en","type":"article","venue":"Algorithmica","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":32,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Crossing number (knot theory); Combinatorics; Planar graph; Mathematics; Planar; Book embedding; Theory of computation; Graph; Discrete mathematics; 1-planar graph; Line graph; Computer science; Algorithm","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":[0.0001713007,0.0001202106,0.0001546903,0.00005031627,0.0004969345,0.0007129096,0.0002067107,0.00006155238,0.00002562682],"category_scores_gemma":[0.0000158003,0.0001180787,0.00004947224,0.0005238831,0.0001545779,0.0004618865,0.00004186116,0.00009390765,0.00002734294],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001460081,"about_ca_system_score_gemma":0.0001106435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002847314,"about_ca_topic_score_gemma":0.000001055317,"domain_scores_codex":[0.9989771,0.00003947302,0.000246772,0.0002968851,0.0002360879,0.0002036718],"domain_scores_gemma":[0.9994102,0.00007179363,0.0001011476,0.0002130618,0.000121322,0.00008244818],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002216195,0.0001963695,0.004911303,0.00002436686,0.00004586497,0.0000369245,0.002304585,0.0002080658,0.00844357,0.09196893,0.001614599,0.8902233],"study_design_scores_gemma":[0.001920209,0.0001825005,0.1317202,0.0001241489,0.00003854586,0.0007019907,0.00003695425,0.5523027,0.02950655,0.2547165,0.0278389,0.0009108656],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6453938,0.0001012581,0.352239,0.000399722,0.000216823,0.00007566701,0.000003984995,0.00007782198,0.001491842],"genre_scores_gemma":[0.7292034,0.000002323789,0.2701665,0.0004520826,0.00006741486,0.000001199044,0.000006180165,0.000004392556,0.00009644769],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8893124,"threshold_uncertainty_score":0.6874604,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01015910372001161,"score_gpt":0.271349627299671,"score_spread":0.2611905235796594,"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."}}