{"id":"W1988220302","doi":"10.1002/jgt.20088","title":"Normal cirulant graphs with noncyclic regular subroups","year":2005,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Mathematics; Combinatorics; Cayley graph; Dihedral group; Discrete mathematics; Cyclic group; Circulant matrix; Abelian group; Chordal graph; Vertex-transitive graph; Cayley's theorem; Prime (order theory); Converse; Graph; Group (periodic table); Line graph; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004625005,0.000258733,0.0005160671,0.0007674402,0.0001574364,0.00006230777,0.0006840806,0.0001259234,0.0004234661],"category_scores_gemma":[0.0003804069,0.0001767837,0.0003612051,0.0005905302,0.0003646756,0.0004469616,0.00007126141,0.0007741042,0.00004150879],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006561504,"about_ca_system_score_gemma":0.0001017831,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001129531,"about_ca_topic_score_gemma":0.00001154274,"domain_scores_codex":[0.9970177,0.0005901041,0.0007476917,0.0001868769,0.0009338856,0.0005236803],"domain_scores_gemma":[0.9971536,0.001103453,0.0005856378,0.0005365004,0.0003533245,0.0002674735],"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":[0.00244217,0.000556841,0.002132647,0.0001080144,0.000508652,0.0003876077,0.001423345,0.00003504966,0.00376709,0.9780813,0.00356806,0.006989189],"study_design_scores_gemma":[0.001904621,0.0008581165,0.001266581,0.000208754,0.0001516537,0.00172753,0.0005973104,0.00002173025,0.004269443,0.9853473,0.00334792,0.0002990093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9852697,0.0007139927,0.005056038,0.0004883709,0.0001350858,0.0001988943,0.000006697131,0.00004625825,0.00808501],"genre_scores_gemma":[0.9859087,0.0001256337,0.0123218,0.0001747769,0.0003526376,0.000005287429,0.000001219699,0.00007470656,0.00103519],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007265999,"threshold_uncertainty_score":0.720903,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02731331683777595,"score_gpt":0.2934840929764498,"score_spread":0.2661707761386738,"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."}}