{"id":"W1973195334","doi":"10.1016/j.disc.2013.07.016","title":"The maximum Perron roots of digraphs with some given parameters","year":2013,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Graph theory and applications","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Digraph; Combinatorics; Root (linguistics); Arc (geometry); Discrete mathematics; Geometry","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":[0.0003167204,0.0002134782,0.0002992782,0.00005651064,0.0002429941,0.00007637806,0.0004475238,0.00006455616,0.00005667309],"category_scores_gemma":[0.0001366349,0.0001188263,0.0001464705,0.0002216618,0.0003609617,0.0001641269,0.00006509242,0.0001458953,0.00006197388],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001161379,"about_ca_system_score_gemma":0.0000173001,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000133654,"about_ca_topic_score_gemma":0.00001127272,"domain_scores_codex":[0.9987211,0.00005421726,0.0004362986,0.0001829704,0.0003003486,0.0003050824],"domain_scores_gemma":[0.997717,0.0009331886,0.0003273429,0.0008393344,0.00009798238,0.00008511382],"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":[0.000008876013,0.0001334765,0.0001272324,0.0001846516,0.0001068612,5.987442e-7,0.001336645,0.000008222402,0.0008506612,0.9957004,0.001003491,0.0005388865],"study_design_scores_gemma":[0.0002129031,0.00008075625,0.000324319,0.000093655,0.00008728731,0.000007932716,0.003035608,0.0005304231,0.001928895,0.9932411,0.000278666,0.0001784702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.986535,0.00008193307,0.005692681,0.0009316047,0.00003768564,0.001071653,0.00002183507,0.0001017717,0.005525903],"genre_scores_gemma":[0.9637121,0.00002535787,0.0352504,0.0000353733,0.00001718752,0.0003079179,0.000005811249,0.00004863261,0.0005972215],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02955772,"threshold_uncertainty_score":0.4845594,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02078241624753243,"score_gpt":0.2620764638242689,"score_spread":0.2412940475767365,"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."}}