{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005458464,0.0001559583,0.0003840525,0.0001059104,0.0001072594,0.00001035864,0.0002957541,0.0000724505,0.000009648621],"category_scores_gemma":[0.001075244,0.0001043264,0.0001311436,0.0007179441,0.0002792266,0.00008467049,0.0001043322,0.0001149831,0.000007095204],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000263865,"about_ca_system_score_gemma":0.00001771065,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002496888,"about_ca_topic_score_gemma":0.000005860069,"domain_scores_codex":[0.9985519,0.00007651984,0.0005807495,0.0001550026,0.0003965507,0.0002392845],"domain_scores_gemma":[0.9963535,0.002448747,0.0003702524,0.0005998398,0.0001873813,0.00004028069],"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":[0.00001816926,0.0002232677,0.0004391065,0.0001077585,0.00002885946,0.00000131997,0.0001073856,0.000003168363,0.00179205,0.9964799,0.0005378059,0.0002611815],"study_design_scores_gemma":[0.0004270766,0.00008454415,0.0003329493,0.00005631764,0.00004273713,0.000001847721,0.0001770243,0.00003391099,0.03828974,0.9602942,0.0001557271,0.0001039498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9910124,0.0006241334,0.0006502456,0.00008325228,0.0005302426,0.0003247851,0.00000650332,0.00007186749,0.006696555],"genre_scores_gemma":[0.9951102,0.00002888881,0.004571736,0.000004446445,0.000005652286,0.00001292043,0.000001525763,0.00002772178,0.0002369523],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03649769,"threshold_uncertainty_score":0.4254306,"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."}}