{"id":"W4408444218","doi":"10.5070/c65165021","title":"Feynman symmetries of the Martin and \\(c_2\\) invariants of regular graphs","year":2025,"lang":"en","type":"article","venue":"Combinatorial Theory","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Engineering and Physical Sciences Research Council; Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; Division of Mathematical Sciences; Government of Canada","keywords":"Feynman diagram; Mathematics; Homogeneous space; Discrete mathematics; Combinatorics; Mathematical physics; Geometry","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":[0.000614327,0.0002675877,0.0002916947,0.001626255,0.0008451971,0.001412255,0.0005388499,0.0005240534,0.003192648],"category_scores_gemma":[0.002345462,0.0001795718,0.0004853732,0.0006502799,0.001968811,0.002437014,0.0007168964,0.0009665761,0.0002810109],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001027277,"about_ca_system_score_gemma":0.0003962215,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005569689,"about_ca_topic_score_gemma":0.0006757575,"domain_scores_codex":[0.9995971,0.00006926409,0.00002041262,0.0000903052,0.00009824435,0.0001247576],"domain_scores_gemma":[0.9990004,0.0003392402,0.0002530998,0.0001483933,0.000108354,0.0001505882],"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":[0.00003700731,0.0000184501,0.0006509175,0.00001535391,0.000002065758,0.00004654132,0.0001511391,0.001492501,0.002790363,0.989174,0.0003189927,0.005302696],"study_design_scores_gemma":[0.00001526746,0.00006160284,0.002161189,0.00002070681,0.000006635093,0.0002419142,0.0001559454,0.02970437,0.004129393,0.9607939,0.00268426,0.00002483946],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8879823,0.0001524221,0.08564335,0.0002502585,0.00006532687,0.00003578904,0.0002053122,0.0001631554,0.02550208],"genre_scores_gemma":[0.9832667,0.00008348313,0.01226478,0.00004372858,0.00005597453,0.00003901995,0.000114614,0.00005489042,0.004076801],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003192648,"threshold_uncertainty_score":0.01068044,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01436199192613402,"score_gpt":0.2760777170764259,"score_spread":0.2617157251502919,"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."}}