{"id":"W4406987509","doi":"10.2139/ssrn.5117928","title":"Classification of Perfect Unitary Cayley Graphs","year":2025,"lang":"en","type":"preprint","venue":"SSRN Electronic Journal","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Unitary state; Cayley graph; Mathematics; Combinatorics; Political science; Graph; Law","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":[0.00051557,0.0004157412,0.0006754752,0.00195768,0.001294342,0.003502781,0.001162077,0.001382341,0.007510805],"category_scores_gemma":[0.004527735,0.0003321625,0.00035991,0.001841467,0.001457187,0.003140578,0.001137576,0.001016999,0.0005230508],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001128743,"about_ca_system_score_gemma":0.0006546773,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001332805,"about_ca_topic_score_gemma":0.001699726,"domain_scores_codex":[0.9993774,0.0001389989,0.00004494454,0.0001700721,0.0001247739,0.000143893],"domain_scores_gemma":[0.996073,0.001806442,0.0006263216,0.0006134904,0.0004043262,0.0004763909],"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":[0.0003938772,0.0001432672,0.01467685,0.0003333715,0.00003851596,0.0001620543,0.0005500846,0.008179842,0.004662925,0.8694537,0.02225781,0.07914777],"study_design_scores_gemma":[0.00007425554,0.00008163328,0.006873291,0.00009217073,0.0000379172,0.0002982035,0.0004898277,0.06251968,0.002726699,0.9153296,0.01144387,0.00003279704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9204088,0.0009935788,0.03940985,0.001761528,0.0002118763,0.00006909536,0.002076816,0.0004744122,0.0345939],"genre_scores_gemma":[0.9858841,0.0003375007,0.007050312,0.0001637376,0.0001083403,0.00002964019,0.002221363,0.00005976769,0.004145143],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007510805,"threshold_uncertainty_score":0.02512616,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01476291446111154,"score_gpt":0.2513377513057208,"score_spread":0.2365748368446092,"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."}}