{"id":"W2274512402","doi":"","title":"A Note on Eigenvalues of the Derangement Graph","year":2011,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph theory and applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Derangement; Mathematics; Eigenvalues and eigenvectors; Combinatorics; Graph; Pure mathematics; Physics; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.000510664,0.000770396,0.0007361615,0.001712701,0.001408687,0.00208816,0.001023341,0.001285539,0.008101462],"category_scores_gemma":[0.002211834,0.0003382265,0.0006070171,0.001144518,0.002195642,0.002767418,0.001328494,0.002559118,0.001434989],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006502561,"about_ca_system_score_gemma":0.0002861611,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008030598,"about_ca_topic_score_gemma":0.0009441376,"domain_scores_codex":[0.9996065,0.0001131954,0.00001750312,0.00007891581,0.0001407464,0.00004311538],"domain_scores_gemma":[0.9989896,0.0005648508,0.00008235004,0.0001581441,0.00009599073,0.0001089524],"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":[0.00001864411,0.00001113317,0.00008718702,0.00004407528,0.000005770715,0.0001470948,0.0001763828,0.001647471,0.001698566,0.9834221,0.004518974,0.008222599],"study_design_scores_gemma":[0.000003494335,0.00000896768,0.0001191026,0.00001085097,0.000003279416,0.00008417341,0.00006247832,0.004009625,0.0003505909,0.9872134,0.008120115,0.00001404306],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2053618,0.009796343,0.3025976,0.01453729,0.01110957,0.00007793288,0.0004645442,0.001138192,0.4549168],"genre_scores_gemma":[0.8381696,0.007094847,0.06006485,0.002253974,0.005135676,0.0001012364,0.0001984167,0.0006740179,0.08630729],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008101462,"threshold_uncertainty_score":0.02710211,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0482777693190106,"score_gpt":0.2858767769068373,"score_spread":0.2375990075878267,"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."}}