{"id":"W2113436588","doi":"10.37236/3025","title":"Crossings in Grid Drawings","year":2014,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Upper and lower bounds; Omega; Vertex (graph theory); Grid; Crossing number (knot theory); Matching (statistics); Integer (computer science); Graph; Discrete mathematics; Geometry; Mathematical analysis; Physics","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":[0.001660541,0.001011529,0.001042601,0.002750637,0.001318817,0.003806466,0.001951631,0.001190608,0.01200465],"category_scores_gemma":[0.01326891,0.001070712,0.001047121,0.003234018,0.001772946,0.005098079,0.003529058,0.002028639,0.001416636],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002382762,"about_ca_system_score_gemma":0.000662046,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002668274,"about_ca_topic_score_gemma":0.002488999,"domain_scores_codex":[0.9971078,0.0005779298,0.0002024149,0.0006926706,0.0007544403,0.0006647102],"domain_scores_gemma":[0.9918296,0.004231186,0.001235773,0.00148095,0.0005807719,0.0006417313],"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":[0.0004517694,0.0001081621,0.008779877,0.0003617778,0.00009328921,0.000401917,0.0006349264,0.1600214,0.007619488,0.7183002,0.01003518,0.09319203],"study_design_scores_gemma":[0.00005540299,0.0001164851,0.003048679,0.0001191699,0.00007750165,0.0005897289,0.0002599782,0.4351222,0.006789525,0.5360393,0.0177298,0.00005221339],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3084292,0.002474349,0.6171639,0.001101796,0.00026899,0.0001486181,0.00127583,0.001423629,0.0677138],"genre_scores_gemma":[0.8666094,0.001344628,0.1205833,0.000418932,0.0001484618,0.0002203403,0.00141767,0.0003499725,0.008907311],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01200465,"threshold_uncertainty_score":0.04015952,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.003188645456191058,"score_gpt":0.2065049378944572,"score_spread":0.2033162924382662,"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."}}