{"id":"W1991373546","doi":"10.1002/jgt.20570","title":"Self‐dual and self‐petrie‐dual regular maps","year":2011,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada; Vedecká Grantová Agentúra MŠVVaŠ SR a SAV","keywords":"Combinatorics; Mathematics; Vertex (graph theory); Dual (grammatical number); Degree (music); Graph; Automorphism; Dual graph; Generator (circuit theory); Discrete mathematics; Planar graph; 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":[0.006469862,0.0002306017,0.0004639247,0.0006119704,0.0001450586,0.00005275172,0.0003565153,0.000168695,0.0003193012],"category_scores_gemma":[0.0007764942,0.0001802623,0.0002366775,0.0003885379,0.0002672087,0.0003255726,0.000154098,0.0006755935,0.00002948469],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004676907,"about_ca_system_score_gemma":0.0001032444,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001208935,"about_ca_topic_score_gemma":0.000001179169,"domain_scores_codex":[0.9972326,0.0008316393,0.0006753367,0.0001920824,0.0006502764,0.0004180941],"domain_scores_gemma":[0.9972927,0.001215752,0.0004634805,0.0004142989,0.0003312692,0.0002825088],"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":[0.0007465167,0.0007512196,0.0007577082,0.0001895751,0.0005704458,0.000543014,0.007960007,9.577879e-8,0.0006685571,0.9834273,0.003307492,0.00107801],"study_design_scores_gemma":[0.001145249,0.0007330254,0.0007612184,0.00007776784,0.000176943,0.001451303,0.001338416,0.000005204645,0.002499393,0.9891356,0.002467662,0.0002081704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9806873,0.00126676,0.00100626,0.0001008836,0.0003655702,0.0002386865,0.00001352648,0.0001045366,0.01621643],"genre_scores_gemma":[0.9521867,0.0005085004,0.04574542,0.0001234742,0.0004414494,0.000005039907,0.000001180262,0.0001034726,0.0008847577],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04473916,"threshold_uncertainty_score":0.7350883,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05448300763766081,"score_gpt":0.2912934432244557,"score_spread":0.2368104355867949,"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."}}