{"id":"W4385691834","doi":"10.4153/s0008414x23000482","title":"Simple eigenvalues of cubic vertex-transitive graphs","year":2023,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Graph theory and applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Javna Agencija za Raziskovalno Dejavnost RS; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Eigenvalues and eigenvectors; Lambda; Combinatorics; Vertex (graph theory); Transitive relation; Multiplicity (mathematics); Automorphism; Simple (philosophy); Simple graph; Graph; Discrete mathematics; Mathematical analysis; Physics; Quantum mechanics","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":[0.0008290319,0.0001288597,0.0003648327,0.0004813081,0.0001109289,0.00001796345,0.0003218887,0.00007464157,0.0001122626],"category_scores_gemma":[0.0006146277,0.0001147594,0.0002072199,0.0006472733,0.0001597049,0.00006729575,0.000008922895,0.0001693913,0.00002170199],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003214357,"about_ca_system_score_gemma":0.0003567237,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001199197,"about_ca_topic_score_gemma":0.00160068,"domain_scores_codex":[0.9987742,0.00005329057,0.0006181261,0.00007990354,0.0002056472,0.0002688887],"domain_scores_gemma":[0.998024,0.0007253829,0.0003892838,0.0002747732,0.0002618471,0.0003247214],"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":[0.000003743178,0.00007095324,0.0005832413,0.0002820914,0.0001660026,0.0000550143,0.006159131,0.00002568789,0.001601858,0.9845533,0.006166209,0.0003327509],"study_design_scores_gemma":[0.0002020548,0.00005915919,0.0004260069,0.0001511141,0.0001122884,0.00006525157,0.003164884,0.0002518313,0.003975467,0.9910235,0.0004567903,0.0001116158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9961361,0.00007670293,0.0007849478,0.0001915045,0.0001063134,0.0001552357,0.00006221282,0.00002079511,0.002466208],"genre_scores_gemma":[0.9952595,0.00002597599,0.004488591,0.00002819969,0.00002698974,0.000004279205,0.000002537976,0.00002940425,0.0001345771],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006470219,"threshold_uncertainty_score":0.4679752,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05000231789827263,"score_gpt":0.2998888179628391,"score_spread":0.2498865000645664,"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."}}