{"id":"W3037656498","doi":"10.1007/s11856-023-2497-5","title":"A note on the trace method for random regular graphs","year":2023,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Graph theory and applications","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Backtracking; Combinatorics; Spectrum (functional analysis); Eigenvalues and eigenvectors; Graph; TRACE (psycholinguistics); Random graph; Random regular graph; Discrete mathematics; Upper and lower bounds; Regular graph; Voltage graph; Line graph; Algorithm; Pathwidth; Mathematical analysis","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":[0.005151324,0.0001711322,0.0004269384,0.0001994724,0.0002305091,0.00004811399,0.0004997932,0.00008493915,0.00001885443],"category_scores_gemma":[0.00208087,0.0001010001,0.000488476,0.0004767433,0.00006544893,0.00005125167,0.00002783457,0.0002624381,0.00003269903],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001684027,"about_ca_system_score_gemma":0.00003667625,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.707993e-7,"about_ca_topic_score_gemma":0.000001521471,"domain_scores_codex":[0.9983853,0.0001639161,0.0007236237,0.0001111793,0.0003816219,0.0002343292],"domain_scores_gemma":[0.9887979,0.009759336,0.000686769,0.0004573154,0.0002225021,0.00007618847],"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":[0.00006751702,0.0002100873,0.000001290195,0.0001362029,0.0001110926,0.000005176299,0.001685716,0.00005087009,0.002768342,0.9818516,0.01158668,0.001525445],"study_design_scores_gemma":[0.001116787,0.0001116215,0.000004725614,0.0001760308,0.0001943749,0.00008157801,0.002039245,0.002978719,0.006436407,0.9812104,0.005536912,0.0001132356],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2379207,0.00009970995,0.7484421,0.01016757,0.0002901984,0.001351381,0.00004508459,0.0001299218,0.001553431],"genre_scores_gemma":[0.1569893,0.0001239928,0.8390494,0.0006879098,0.0003929531,0.0002240558,0.00000302158,0.0001565454,0.002372876],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.09060736,"threshold_uncertainty_score":0.4118665,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07021418051087097,"score_gpt":0.3740156768753642,"score_spread":0.3038014963644933,"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."}}