{"id":"W2144900670","doi":"10.37236/106","title":"Automorphism Groups of Wreath Product Digraphs","year":2009,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Wreath product; Combinatorics; Mathematics; Automorphism; Automorphism group; Vertex (graph theory); Graph; Product (mathematics); Discrete mathematics; Geometry","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":[0.004099935,0.0001959829,0.0005008605,0.0002567018,0.0001141186,0.00002640481,0.001036513,0.00006945401,0.0000239099],"category_scores_gemma":[0.0008437566,0.0001268955,0.0002502775,0.0008166078,0.0001408589,0.000167589,0.00004978354,0.001160356,0.000005282029],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002511041,"about_ca_system_score_gemma":0.0004543313,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001893604,"about_ca_topic_score_gemma":0.000001116749,"domain_scores_codex":[0.9971833,0.0003500234,0.0007229803,0.0001322572,0.000916876,0.0006945111],"domain_scores_gemma":[0.9974695,0.0007287469,0.0007246399,0.000588214,0.0003973238,0.00009156418],"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":[0.0001676528,0.0005015296,0.0001358631,0.00002461591,0.000120134,0.00001403137,0.0005196912,0.000003089289,0.001518499,0.9944328,0.001350778,0.001211288],"study_design_scores_gemma":[0.0009080459,0.001844128,0.0005336613,0.00004991669,0.00009692369,0.0003376247,0.00009274424,0.00003204935,0.006028514,0.9890749,0.0008783753,0.0001231417],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9877918,0.004328092,0.002475783,0.00164849,0.00026615,0.0003222002,0.000001393997,0.00003626626,0.003129833],"genre_scores_gemma":[0.9987525,0.00052811,0.00006566012,0.00003960965,0.0001189261,0.000001617597,4.887218e-7,0.00002668248,0.0004663994],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01096071,"threshold_uncertainty_score":0.5174648,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02617345998663777,"score_gpt":0.3063965851523656,"score_spread":0.2802231251657278,"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."}}