{"id":"W2609797714","doi":"10.7494/opmath.2017.37.4.509","title":"The metric dimension of circulant graphs and their Cartesian products","year":2017,"lang":"en","type":"article","venue":"Opuscula Mathematica","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":17,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Winnipeg","funders":"","keywords":"Mathematics; Circulant matrix; Dimension (graph theory); Cartesian product; Metric dimension; Combinatorics; Metric (unit); Discrete mathematics; Pure mathematics; Chordal graph; 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":[0.0008981779,0.0001390882,0.0002288864,0.00009283701,0.0007714578,0.0002808855,0.0008519337,0.00003989811,8.454888e-7],"category_scores_gemma":[0.0004160438,0.00007354293,0.00007468733,0.0002161434,0.0002301741,0.0001904145,0.0003436244,0.0000789015,0.000008202975],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004985429,"about_ca_system_score_gemma":0.00002953766,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000200835,"about_ca_topic_score_gemma":0.000001615937,"domain_scores_codex":[0.9989149,0.00005309159,0.0002646472,0.0003040631,0.0002401313,0.000223192],"domain_scores_gemma":[0.9975334,0.00017099,0.0002621528,0.001817261,0.0001418302,0.00007435946],"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":[0.000002546258,0.00009286715,0.000298648,0.0001554648,0.00006398519,0.000004388292,0.001247902,0.000007014468,0.01407535,0.9664102,0.0003888673,0.0172528],"study_design_scores_gemma":[0.0004212445,0.0000970957,0.002619892,0.0002072221,0.00003029942,0.00007599589,0.0001453812,0.02874511,0.02781955,0.9391006,0.0004749776,0.0002625871],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9578879,0.005319581,0.0200451,0.009190583,0.0008517751,0.001066981,0.000004142032,0.0002783307,0.005355619],"genre_scores_gemma":[0.9884892,0.0001015173,0.01126147,0.00002408627,0.000003152584,0.00001166034,3.541963e-7,0.000008600064,0.00009994423],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03060133,"threshold_uncertainty_score":0.5933508,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01731345232753533,"score_gpt":0.233632411004948,"score_spread":0.2163189586774127,"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."}}