{"id":"W2116052752","doi":"10.37236/728","title":"The Minor Crossing Number of Graphs with an Excluded Minor","year":2008,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":15,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Minor (academic); Combinatorics; Mathematics; Crossing number (knot theory); Graph; Robertson–Seymour theorem; Graph minor; Coxeter graph; Discrete mathematics; 1-planar graph; Line graph; Graph power; Voltage graph","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":[0.0004560893,0.0005543077,0.000496127,0.00212544,0.0009232272,0.001393924,0.0006620844,0.0006035218,0.005033741],"category_scores_gemma":[0.003600129,0.0003650072,0.0005210137,0.00103571,0.001248323,0.001710095,0.0008950274,0.0009096676,0.0005873148],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008951626,"about_ca_system_score_gemma":0.0003632892,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000714719,"about_ca_topic_score_gemma":0.0005669695,"domain_scores_codex":[0.9995271,0.00007594607,0.00002676275,0.0001598992,0.0001135587,0.00009672883],"domain_scores_gemma":[0.9971943,0.001238389,0.000445251,0.0003324602,0.0002823041,0.0005072037],"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":[0.00236593,0.000302937,0.0231916,0.000834714,0.000307145,0.002073178,0.001571806,0.07344292,0.1507136,0.6019658,0.0191923,0.124038],"study_design_scores_gemma":[0.000126171,0.0004256902,0.02289821,0.0001108848,0.0002219575,0.005465006,0.0005548527,0.198871,0.04952346,0.6926469,0.02902157,0.0001342938],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8766461,0.0009518915,0.08790688,0.0004681461,0.0001679313,0.00006190781,0.0009511515,0.0007883913,0.03205751],"genre_scores_gemma":[0.9760686,0.0003803976,0.01831364,0.0001037249,0.0000832376,0.0000599115,0.0007490199,0.0001414269,0.004099995],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005033741,"threshold_uncertainty_score":0.0168395,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01664414367976009,"score_gpt":0.2882565633769669,"score_spread":0.2716124196972068,"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."}}