{"id":"W2131891875","doi":"10.5539/jmr.v4n2p28","title":"A Class of Cayley Digraph Structures Induced by Groups","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Digraph; Mathematics; Cayley graph; Combinatorics; Transitive relation; Generalization; Vertex (graph theory); Algebraic properties; Vertex-transitive graph; Cayley's theorem; Algebraic number; Algebraic structure; Class (philosophy); Discrete mathematics; Graph; Pure mathematics; Voltage graph; Computer science; Line graph","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002914118,0.0001025081,0.0003136586,0.0003681574,0.00004578432,0.00002792355,0.0003396238,0.0001054453,0.00005887067],"category_scores_gemma":[0.0001711404,0.00007668789,0.0001221047,0.0003372935,0.00005129093,0.0001882808,0.0000329832,0.0005742022,0.000009083609],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003858416,"about_ca_system_score_gemma":0.00001963413,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000362706,"about_ca_topic_score_gemma":0.000001054406,"domain_scores_codex":[0.9981175,0.0001446906,0.0005503245,0.00004333118,0.0007882335,0.0003559011],"domain_scores_gemma":[0.998885,0.0003612517,0.0001431222,0.0002145468,0.0002206988,0.0001753259],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0000438546,0.0004783274,0.001539201,0.002148625,0.0005412046,0.00001111697,0.01320539,0.0002132008,0.8640277,0.09883558,0.01737009,0.001585677],"study_design_scores_gemma":[0.002611371,0.001032651,0.004773028,0.001420011,0.0001422227,0.0008358825,0.0270787,0.003474656,0.6989855,0.2494958,0.009275299,0.000874827],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9947903,0.00127513,0.0007071883,0.00001859326,0.0002626934,0.0000996584,0.000005630141,0.00001230785,0.002828526],"genre_scores_gemma":[0.9991202,0.00005674292,0.0006150546,0.000001994761,0.0001426525,0.000002749669,4.754035e-7,0.00002520846,0.0000348801],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1650422,"threshold_uncertainty_score":0.3127241,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06299761110496142,"score_gpt":0.331746426100468,"score_spread":0.2687488149955065,"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."}}