{"id":"W2158059367","doi":"10.1017/s0963548310000325","title":"The Diameter of Sparse Random Graphs","year":2010,"lang":"en","type":"article","venue":"Combinatorics Probability Computing","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Random graph; Graph; Scaling; Range (aeronautics); Limiting; Branching process; Simple (philosophy); Random variable; Term (time)","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":[0.001827862,0.0005467231,0.0007583339,0.001816128,0.0007205362,0.001658798,0.001200414,0.0009687781,0.001051893],"category_scores_gemma":[0.01727316,0.0005543201,0.0003926539,0.0007241343,0.002220163,0.003694113,0.001580519,0.001048271,0.0002626387],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001376979,"about_ca_system_score_gemma":0.0004375584,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001105483,"about_ca_topic_score_gemma":0.0007639531,"domain_scores_codex":[0.9990144,0.0003501194,0.00003398119,0.0002617601,0.0001860919,0.0001536978],"domain_scores_gemma":[0.9871051,0.009225915,0.001501705,0.0007748784,0.000687526,0.0007047884],"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":[0.0004351941,0.00009224105,0.01472303,0.0004311675,0.0001229426,0.0005272306,0.0008219894,0.2847531,0.02431876,0.6392132,0.007578764,0.02698232],"study_design_scores_gemma":[0.00003370145,0.0001057968,0.004931243,0.00007230044,0.0000410788,0.0004557504,0.0001642355,0.6837154,0.005473746,0.3005703,0.004387746,0.00004866751],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6371011,0.004121469,0.3385353,0.003272285,0.0001939106,0.00007525628,0.0006959706,0.000670061,0.01533469],"genre_scores_gemma":[0.9820397,0.001335097,0.01389835,0.0002144579,0.0002835581,0.00009194596,0.0002531205,0.0001289865,0.001754778],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001827862,"threshold_uncertainty_score":0.009990692,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03636316430497043,"score_gpt":0.2971895916745583,"score_spread":0.2608264273695879,"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."}}