{"id":"W1982754491","doi":"10.1016/j.disc.2011.06.002","title":"Vertex partitions of metric spaces with finite distance sets","year":2011,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Isometry (Riemannian geometry); Metric space; Subspace topology; Injective metric space; Combinatorics; Metric (unit); Intrinsic metric; Countable set; Convex metric space; Discrete mathematics; Vertex (graph theory); Space (punctuation); Finite set; Isometry group; Pure mathematics; Mathematical analysis; Graph; Computer science","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":[0.0002344564,0.0001940577,0.0003930128,0.0001099343,0.00009667124,0.000008030042,0.0002245272,0.00008355985,0.0003821315],"category_scores_gemma":[0.000504877,0.0001400172,0.00008366142,0.0003400274,0.0003404506,0.0001346718,0.00004904621,0.0001392611,0.00003709755],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001481327,"about_ca_system_score_gemma":0.00002501171,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002958742,"about_ca_topic_score_gemma":0.00002317741,"domain_scores_codex":[0.9989389,0.00005150677,0.0003711421,0.0001807707,0.0002005784,0.0002570837],"domain_scores_gemma":[0.998207,0.0008083193,0.0003030387,0.0005252389,0.00008348583,0.00007293373],"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":[0.00004682787,0.0002676546,0.0003429604,0.0003459941,0.0001044206,0.00001462073,0.00619698,0.0000127902,0.00003017443,0.9923104,0.0001991116,0.0001280658],"study_design_scores_gemma":[0.0003347237,0.0001456709,0.0001572557,0.0001572382,0.000145126,0.00001498645,0.002293462,0.0005057753,0.002246201,0.9936148,0.0001723341,0.0002124193],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2178243,0.000225656,0.6917697,0.00008295522,0.0001272577,0.0005203942,0.0001401719,0.0002041355,0.08910539],"genre_scores_gemma":[0.8438537,0.00002177341,0.1553376,0.00002064778,0.000008378987,0.00002794424,0.00000760574,0.00003286466,0.0006895165],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6260294,"threshold_uncertainty_score":0.5709737,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05462221227023237,"score_gpt":0.30333353630806,"score_spread":0.2487113240378277,"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."}}