{"id":"W2146999606","doi":"10.37236/9485","title":"Diameter and Stationary Distribution of Random $r$-Out Digraphs","year":2020,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Multigraph; Mathematics; Distribution (mathematics); Pi; Upper and lower bounds; Physics; Discrete mathematics; Mathematical analysis; Geometry; Graph","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00106273,0.000535553,0.000846006,0.002230717,0.001235784,0.001656853,0.001809803,0.0008457993,0.00257706],"category_scores_gemma":[0.008421192,0.0006496224,0.0004762355,0.0007029581,0.00173532,0.001968279,0.0009689393,0.0009885263,0.0004889344],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002344232,"about_ca_system_score_gemma":0.0004896002,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002247666,"about_ca_topic_score_gemma":0.002535802,"domain_scores_codex":[0.9995389,0.0001157313,0.00001878617,0.0001545455,0.0000680718,0.0001040305],"domain_scores_gemma":[0.9946129,0.002753729,0.0008359395,0.0004045626,0.0004469268,0.0009460645],"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":[0.000741489,0.0002031375,0.02166847,0.0002967356,0.0001349214,0.00102234,0.001001987,0.1890175,0.03603964,0.7219302,0.01081384,0.01712981],"study_design_scores_gemma":[0.00007636772,0.0001157513,0.008230421,0.00008621175,0.00006004368,0.000635491,0.0003182908,0.7895364,0.007290407,0.1903617,0.003212469,0.00007653856],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8748488,0.0006152831,0.1113239,0.00121412,0.00005229124,0.00005169223,0.0009079064,0.0004908676,0.01049514],"genre_scores_gemma":[0.9885266,0.0003467632,0.007786913,0.0001035153,0.00004841089,0.00006697774,0.0005347359,0.00007064269,0.002515503],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00257706,"threshold_uncertainty_score":0.01700872,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03169557292048421,"score_gpt":0.3007798732996789,"score_spread":0.2690843003791947,"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."}}