{"id":"W157602590","doi":"","title":"The Metric Dimension of Cayley Digraphs of Abelian Groups.","year":2006,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"advanced mathematical theories","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Abelian group; Cayley graph; Dimension (graph theory); Rank of an abelian group; Metric (unit); Elementary abelian group; Pure mathematics; Combinatorics; Algebra over a field; Discrete mathematics; Business","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004444536,0.0004618228,0.000421164,0.002893758,0.001274556,0.002835628,0.0007554945,0.0007403504,0.006117551],"category_scores_gemma":[0.002589287,0.0003211958,0.0002694021,0.001422018,0.001909289,0.004277928,0.0014573,0.001084627,0.0006882449],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001127431,"about_ca_system_score_gemma":0.0005458003,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001669161,"about_ca_topic_score_gemma":0.002305194,"domain_scores_codex":[0.9995895,0.0001167093,0.00002410504,0.00006794176,0.000115771,0.00008591839],"domain_scores_gemma":[0.9983575,0.0005204938,0.0003282832,0.0001418612,0.0002103526,0.0004416198],"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":[0.00002216747,0.00001063394,0.0005977987,0.00002561129,0.000008344143,0.00003723845,0.0001391233,0.0004539739,0.0004667304,0.9926817,0.001764287,0.003792367],"study_design_scores_gemma":[0.00001036338,0.00001636859,0.001149807,0.00001678639,0.000009334944,0.0001392724,0.0001322857,0.003932805,0.0003379906,0.9889978,0.005242886,0.00001433181],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7804714,0.003629781,0.04283004,0.003748035,0.0006812824,0.00004879,0.001593766,0.0002761545,0.1667207],"genre_scores_gemma":[0.9851857,0.0008503783,0.004216577,0.0002800372,0.0002458902,0.00003091214,0.0004230453,0.00003599803,0.00873149],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006117551,"threshold_uncertainty_score":0.02046525,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01381503071988609,"score_gpt":0.2731458502827192,"score_spread":0.2593308195628331,"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."}}