{"id":"W2151490491","doi":"10.1002/jgt.21912","title":"Crossing Numbers of Periodic Graphs","year":2015,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University; Natural Sciences and Engineering Research Council of Canada","funders":"Grantová Agentura České Republiky","keywords":"Mathematics; Combinatorics; Crossing number (knot theory); Graph; Limit (mathematics); Discrete mathematics; Mathematical analysis","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":[0.0005695595,0.0002613632,0.0003764821,0.002627436,0.0006763158,0.001599652,0.0006147077,0.0006667446,0.004975688],"category_scores_gemma":[0.004711929,0.0002920943,0.0002858734,0.0009971894,0.001545219,0.001936081,0.000703261,0.0007858262,0.0002933267],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009574513,"about_ca_system_score_gemma":0.0002696524,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004662559,"about_ca_topic_score_gemma":0.0004244782,"domain_scores_codex":[0.9995732,0.00007330614,0.00002102883,0.00011643,0.0001390464,0.000077016],"domain_scores_gemma":[0.9974238,0.001302938,0.0003700801,0.0002693393,0.0002243022,0.0004096447],"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":[0.000265661,0.00008013234,0.004548273,0.0001495518,0.00002434717,0.0004723431,0.0004907255,0.04896049,0.01314041,0.904269,0.003305743,0.02429335],"study_design_scores_gemma":[0.00002808391,0.00007714076,0.002392631,0.00004887231,0.00001897715,0.000475883,0.0001866726,0.1142139,0.00537637,0.8737696,0.003380121,0.00003175618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9187351,0.0004640356,0.04936309,0.0002797766,0.00009151008,0.00002609005,0.000260768,0.0004837834,0.03029578],"genre_scores_gemma":[0.9911742,0.0001580221,0.006720112,0.00003062737,0.00003433631,0.00002158947,0.000140097,0.00006339788,0.001657626],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004975688,"threshold_uncertainty_score":0.01664531,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02212196491861104,"score_gpt":0.2670039297928634,"score_spread":0.2448819648742524,"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."}}