{"id":"W4409754254","doi":"10.1016/j.dam.2025.04.031","title":"Edge addition and the change in Kemeny’s constant","year":2025,"lang":"en","type":"article","venue":"Discrete Applied Mathematics","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal; University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Constant (computer programming); Enhanced Data Rates for GSM Evolution; Combinatorics; Discrete mathematics; Artificial intelligence; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001408227,0.0006407535,0.0007429583,0.002729413,0.001758153,0.002666329,0.001949538,0.001708885,0.01518292],"category_scores_gemma":[0.01170419,0.000392377,0.0005604081,0.00209472,0.003867236,0.00767768,0.002411057,0.003643947,0.001616494],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001376912,"about_ca_system_score_gemma":0.0008035348,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001238786,"about_ca_topic_score_gemma":0.0009484812,"domain_scores_codex":[0.9991528,0.0001718929,0.00003646766,0.0002386965,0.0001917461,0.0002083648],"domain_scores_gemma":[0.9956904,0.00243282,0.0003668913,0.0004678281,0.0005105209,0.000531532],"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":[0.0001789696,0.00003017115,0.0002767189,0.00006216359,0.00001221811,0.0001198248,0.0001821065,0.002041422,0.001690624,0.9746041,0.003864223,0.01693756],"study_design_scores_gemma":[0.00002872742,0.00002650216,0.0005450947,0.00002423631,0.00001604751,0.0002428891,0.00009380523,0.006929745,0.001755868,0.9816016,0.008707317,0.0000282647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4522293,0.008548232,0.1819397,0.0144992,0.003372385,0.00008117336,0.0006275211,0.0007561286,0.3379464],"genre_scores_gemma":[0.9163845,0.002496157,0.02284754,0.001278358,0.001067861,0.00005709566,0.0001430812,0.0003324174,0.05539298],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01518292,"threshold_uncertainty_score":0.05079192,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01338856447973245,"score_gpt":0.2501760721015539,"score_spread":0.2367875076218215,"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."}}