{"id":"W3206968406","doi":"10.4171/aihpd/172","title":"A degree preserving delta wye transformation with applications to 6-regular graphs and Feynman periods","year":2023,"lang":"en","type":"article","venue":"Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Feynman diagram; Transformation (genetics); Degree (music); Mathematics; Delta; Physics; Pure mathematics; Mathematical physics; Chemistry","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":[0.0003105747,0.0002542912,0.0002923894,0.0007859344,0.001055592,0.0009142482,0.0004422075,0.0006689631,0.003172966],"category_scores_gemma":[0.0007333502,0.0001611937,0.000479523,0.0004155859,0.002039268,0.001474667,0.0007532865,0.0008493841,0.0002522153],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000592407,"about_ca_system_score_gemma":0.0002620164,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006710428,"about_ca_topic_score_gemma":0.000681765,"domain_scores_codex":[0.9998417,0.00003358702,0.000005343298,0.00003150717,0.00003652149,0.00005139386],"domain_scores_gemma":[0.9997814,0.00006475036,0.00004401448,0.00004025721,0.00001985876,0.00004970514],"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":[0.00001949796,0.00002471597,0.000163805,0.00001033275,0.000002292096,0.0001247943,0.0001499368,0.002199892,0.004090807,0.9890833,0.0001926731,0.003937815],"study_design_scores_gemma":[0.00001518151,0.00003358049,0.0003420251,0.000006449624,0.000003422134,0.0001754393,0.0002105446,0.02479846,0.003669051,0.9679897,0.002744857,0.00001124499],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8220327,0.0003178539,0.1154509,0.0009667592,0.0001822867,0.00004824495,0.00004992755,0.0001400022,0.06081141],"genre_scores_gemma":[0.9743685,0.0001681544,0.01691094,0.00008840238,0.0000595055,0.00003148596,0.00002580519,0.00005749886,0.008289791],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003172966,"threshold_uncertainty_score":0.01061463,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05111731281860462,"score_gpt":0.313837168699545,"score_spread":0.2627198558809404,"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."}}