{"id":"W2963217502","doi":"10.1016/j.aim.2015.09.002","title":"Enumeration of graphs with a heavy-tailed degree sequence","year":2015,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Graph theory and applications","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Degree (music); Enumeration; Mathematics; Combinatorics; Sequence (biology); Discrete mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004898042,0.0001358848,0.0002702606,0.0001011718,0.00003587039,0.00001049896,0.0002030402,0.00004782179,0.00001536156],"category_scores_gemma":[0.0002923022,0.0001058296,0.00003671731,0.0004545781,0.0001477018,0.0002908788,0.00002408479,0.0001044902,0.000009458902],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002547149,"about_ca_system_score_gemma":0.00004439934,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002227274,"about_ca_topic_score_gemma":0.00006758051,"domain_scores_codex":[0.9989957,0.00004481436,0.0003966329,0.0001548931,0.0002463201,0.0001617022],"domain_scores_gemma":[0.9987751,0.0003699379,0.0002568264,0.0004061644,0.0001324611,0.00005952165],"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":[0.00002683046,0.0002449244,0.0008763128,0.0002069049,0.000009529962,0.000002485516,0.00190446,0.0001911982,0.0002514301,0.9949419,0.00002969563,0.001314289],"study_design_scores_gemma":[0.00042326,0.00008175425,0.00002662659,0.0001715715,0.00002233155,0.00001588161,0.001052789,0.0007169629,0.002755245,0.9943517,0.0002523222,0.0001295289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8676359,0.0006710073,0.1056427,0.0001439659,0.00007626961,0.0009783186,0.00002276477,0.0001415554,0.02468752],"genre_scores_gemma":[0.7869725,0.00005678122,0.2127341,0.00001434525,0.000009250301,0.00009353642,0.000003917885,0.00001821352,0.00009743054],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1070914,"threshold_uncertainty_score":0.4315605,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1024646317805906,"score_gpt":0.355229876230806,"score_spread":0.2527652444502153,"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."}}