{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00185317,0.00007486845,0.0001305508,0.0001468217,0.0001135784,0.0001291247,0.0007276608,0.00002963439,0.000001761467],"category_scores_gemma":[0.000127914,0.00005352409,0.00005936654,0.0006853552,0.00002563282,0.0003618065,0.00006070672,0.0003848937,0.000005245986],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001556366,"about_ca_system_score_gemma":0.0003140632,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003773245,"about_ca_topic_score_gemma":0.000002721884,"domain_scores_codex":[0.9988852,0.0001223911,0.000294454,0.00008690187,0.0003261429,0.0002849565],"domain_scores_gemma":[0.9991937,0.0002005848,0.000228576,0.0001683256,0.0001699109,0.00003890151],"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":[0.00000698413,0.00004791719,0.0001541806,0.000002274759,0.000007191629,0.000001783692,0.0003259549,0.001936861,0.0002613586,0.9912766,0.0006611372,0.005317784],"study_design_scores_gemma":[0.0007193408,0.0003626138,0.002259332,0.00001513016,0.000005726816,0.0001587913,0.00001031323,0.01791608,0.001589444,0.935631,0.04123629,0.00009593577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2608719,0.0008513418,0.7337129,0.002609208,0.001196835,0.00004242542,4.259263e-8,0.00001244312,0.0007029274],"genre_scores_gemma":[0.9990677,0.000056436,0.0002191588,0.0002410548,0.0002451716,7.113882e-7,2.127319e-7,0.000004068751,0.0001654602],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7381958,"threshold_uncertainty_score":0.2182649,"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."}}