{"id":"W2971946515","doi":"10.20382/jocg.v6i1a1","title":"On a Conjecture of Lovász on Circle-Representations of Simple 4-Regular Planar Graphs","year":2012,"lang":"en","type":"preprint","venue":"Journal of Computational Geometry (Carleton University)","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"European Social Fund","keywords":"Combinatorics; Planar graph; Mathematics; Conjecture; Simple (philosophy); Discrete mathematics; Realization (probability); Intersection (aeronautics); Graph","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006240715,0.0002904041,0.0007296922,0.004324762,0.0001143849,0.00004146443,0.001984914,0.0002437331,0.00004930973],"category_scores_gemma":[0.0001924994,0.0003136222,0.0006019459,0.002050154,0.0002875316,0.0004283261,0.0005202235,0.00105519,0.000005872372],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001959809,"about_ca_system_score_gemma":0.0005369566,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001735314,"about_ca_topic_score_gemma":0.000001420031,"domain_scores_codex":[0.9966012,0.0004129423,0.0006983305,0.0003905736,0.001570384,0.0003266134],"domain_scores_gemma":[0.9944587,0.001685053,0.001714917,0.0006231694,0.001253872,0.0002643414],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002994412,0.0003988921,0.0008616615,0.0001313334,0.0004686875,0.0001085962,0.0002934425,0.6005833,0.0002877994,0.3937781,0.0004387791,0.00234998],"study_design_scores_gemma":[0.00323005,0.00154474,0.0263194,0.0006759231,0.0002016585,0.0001323951,0.0003819074,0.00617147,0.003468962,0.9557507,0.001437841,0.0006849626],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4118982,0.0001973072,0.5848677,0.0004167533,0.0005245456,0.000309318,0.0001747549,0.00002690908,0.001584529],"genre_scores_gemma":[0.9823807,0.00003676972,0.01728565,0.00006567258,0.00007449793,3.365118e-7,0.0000352864,0.00001862909,0.0001024276],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5944118,"threshold_uncertainty_score":0.9999316,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0187985351085969,"score_gpt":0.2717825177839632,"score_spread":0.2529839826753663,"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."}}