{"id":"W2122198415","doi":"10.1112/blms/bdq096","title":"Base size, metric dimension and other invariants of groups and graphs","year":2011,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":264,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Permutation group; Base (topology); Metric dimension; Terminology; Wreath product; Association scheme; Metric (unit); Dimension (graph theory); Combinatorics; Graph isomorphism; Isomorphism (crystallography); Discrete mathematics; Graph; Product (mathematics); Permutation (music); Chordal graph; Line graph; 1-planar graph; Geometry; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001348539,0.0007445985,0.0008588249,0.003659493,0.0015511,0.004023605,0.00151686,0.001284716,0.003979101],"category_scores_gemma":[0.007104116,0.0003297457,0.0005226727,0.004367338,0.007133938,0.01239297,0.002565176,0.00283931,0.000477402],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001715601,"about_ca_system_score_gemma":0.0004330621,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000680626,"about_ca_topic_score_gemma":0.0005563786,"domain_scores_codex":[0.9988083,0.0002694651,0.00008748074,0.0003214502,0.0003413178,0.0001719885],"domain_scores_gemma":[0.9936578,0.003445378,0.001010551,0.0008696861,0.0003286551,0.0006879256],"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":[0.00002170999,0.00001960427,0.001009071,0.00004128292,0.000006714911,0.00002998614,0.0002804592,0.001313972,0.0005570191,0.9846698,0.001038255,0.01101224],"study_design_scores_gemma":[0.00000422365,0.00001790195,0.0008170108,0.0000135311,0.000006451817,0.00009243956,0.0001922047,0.002741079,0.0006396407,0.9898158,0.005642605,0.00001711053],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6070524,0.01322,0.2480595,0.007725345,0.0008472596,0.00009729574,0.001263088,0.0004881451,0.121247],"genre_scores_gemma":[0.9542269,0.003382569,0.03158363,0.0003561989,0.001139162,0.0001345226,0.0004900676,0.0001447251,0.008542269],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004023605,"threshold_uncertainty_score":0.01331139,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0207337016087963,"score_gpt":0.2077608670719031,"score_spread":0.1870271654631067,"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."}}