{"id":"W3181497812","doi":"10.37236/9940","title":"On Automorphisms of Direct Products of Cayley Graphs on Abelian Groups","year":2021,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Graph theory and applications","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Mathematics; Automorphism; Combinatorics; Abelian group; Cayley graph; Direct product; Prime (order theory); Cyclic group; Discrete mathematics; 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":[0.001409648,0.0001465623,0.0004123561,0.0001400225,0.00009312855,0.000008243331,0.0004261379,0.0000604208,0.00001832304],"category_scores_gemma":[0.0005607178,0.0001014831,0.0001968675,0.0008845057,0.0001026789,0.00004509627,0.00002891596,0.0005582339,0.000002793812],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008530659,"about_ca_system_score_gemma":0.0003438283,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001635779,"about_ca_topic_score_gemma":0.00000213149,"domain_scores_codex":[0.9983181,0.0002439148,0.0005619304,0.0001254384,0.0004528922,0.0002976888],"domain_scores_gemma":[0.9972887,0.0008211478,0.0007831649,0.0005454716,0.0005138243,0.00004768081],"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":[0.0000727266,0.0008965813,0.0000268727,0.00005279643,0.0001575578,0.000004363523,0.0002834655,0.00002426836,0.006662317,0.9907397,0.0009150601,0.0001642599],"study_design_scores_gemma":[0.0004928882,0.0007826995,0.00009886717,0.0000949127,0.0001132567,0.00004838082,0.00006944371,0.000005705479,0.1538093,0.8439502,0.0004623249,0.00007197473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9946626,0.001067956,0.0002370335,0.001201862,0.0002349964,0.0001694255,0.000005183009,0.00001493754,0.002406012],"genre_scores_gemma":[0.9992206,0.0003541665,0.0000523222,0.00003944635,0.00002690123,0.000004060651,0.000001107182,0.0000221109,0.0002792547],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.147147,"threshold_uncertainty_score":0.4138361,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01741373897418274,"score_gpt":0.2664484981163003,"score_spread":0.2490347591421176,"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."}}