{"id":"W2951772545","doi":"10.48550/arxiv.1201.2167","title":"Spectrum of Cayley graphs on the symmetric group generated by transpositions","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Graph theory and applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Cayley graph; Combinatorics; Mathematics; Symmetric group; Integer (computer science); Spectrum (functional analysis); Group (periodic table); Graph; Vertex-transitive graph; Cayley's theorem; Discrete mathematics; Physics; Voltage graph; Computer science; Line graph","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002762505,0.0002729725,0.0003030226,0.0002998491,0.0002414687,0.00001682251,0.0006826181,0.0002191477,0.0001697971],"category_scores_gemma":[0.00002661741,0.0002388515,0.0003170475,0.001280934,0.0002022557,0.00005760772,0.0001151954,0.0005566306,0.00003950267],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005770046,"about_ca_system_score_gemma":0.00002671376,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005620542,"about_ca_topic_score_gemma":0.00005912933,"domain_scores_codex":[0.9987519,0.0002280202,0.0002311266,0.0004310977,0.00008308606,0.0002747638],"domain_scores_gemma":[0.9981657,0.0004238283,0.0002730709,0.0009652812,0.00006403293,0.0001081013],"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":[0.00002199748,0.0004592034,0.0003867937,0.00006116507,0.0001730929,0.000003647151,0.0001225365,0.0006561954,0.000498809,0.9963301,0.001272043,0.00001436052],"study_design_scores_gemma":[0.0002558141,0.00004009632,0.0008893785,0.00005661883,0.000467732,0.000001320707,0.00009704407,0.000865007,0.002620837,0.994195,0.0002108313,0.0003003323],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9799889,0.00007458722,0.01375082,0.0001591003,0.0001176068,0.0005687241,0.0004637245,0.0001076407,0.004768954],"genre_scores_gemma":[0.9989555,0.0001528868,0.0001295004,0.00005093195,0.0000312534,0.000006830806,0.000117973,0.00002976021,0.0005253094],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01896671,"threshold_uncertainty_score":0.9740081,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09339835945775307,"score_gpt":0.2027216860636226,"score_spread":0.1093233266058695,"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."}}