{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002027871,0.0002797172,0.0002529527,0.00084855,0.0007588963,0.001277732,0.0004581233,0.0003464702,0.002869302],"category_scores_gemma":[0.00101139,0.0001596062,0.0002555372,0.0004805901,0.001172396,0.00112326,0.000616829,0.0004871329,0.0002820895],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009880988,"about_ca_system_score_gemma":0.0004963547,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00213445,"about_ca_topic_score_gemma":0.003027281,"domain_scores_codex":[0.9997395,0.00003159909,0.00001221588,0.00007845861,0.00007388655,0.00006429895],"domain_scores_gemma":[0.9990065,0.0001897177,0.0002710902,0.00016335,0.0001438864,0.0002255559],"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":[0.0001850866,0.00008860624,0.006029719,0.00009002888,0.00002457917,0.0008002304,0.0006931465,0.005619341,0.02776056,0.9332678,0.002135979,0.02330496],"study_design_scores_gemma":[0.00009716678,0.0002628599,0.008902297,0.00005455633,0.00008495615,0.002105294,0.0009857038,0.04996469,0.02797858,0.8715377,0.03796045,0.00006570033],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9583868,0.0001845336,0.01850351,0.0001795618,0.00004881348,0.00004487543,0.0001317264,0.0001489583,0.02237139],"genre_scores_gemma":[0.9887517,0.0001231532,0.007161465,0.00004523546,0.00003535546,0.00001807589,0.0002382324,0.00001505111,0.003611746],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002869302,"threshold_uncertainty_score":0.009598792,"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."}}