{"id":"W3216895961","doi":"","title":"Minimum values of the second largest `\\(Q\\)` eigenvalue","year":2021,"lang":"oc","type":"article","venue":"PolyPublie (École Polytechnique de Montréal)","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Polytechnique Montréal; Group for Research in Decision Analysis","funders":"","keywords":"Combinatorics; Mathematics; Adjacency matrix; Eigenvalues and eigenvectors; Diagonal matrix; Graph; Laplacian matrix; Connectivity; Diagonal; Discrete mathematics; Physics","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":[0.0004403999,0.0003979465,0.0004363733,0.001375663,0.0005786989,0.0009461706,0.0004167632,0.0006765656,0.004183213],"category_scores_gemma":[0.003166428,0.0001672217,0.0001561001,0.0004663155,0.001251796,0.0006831113,0.0005042158,0.0003588793,0.0002863352],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000500772,"about_ca_system_score_gemma":0.0002545679,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003577782,"about_ca_topic_score_gemma":0.0004827674,"domain_scores_codex":[0.9997804,0.00005426533,0.000009612733,0.00005559671,0.00005318712,0.00004698046],"domain_scores_gemma":[0.998358,0.0008186119,0.0002560394,0.0001130796,0.0002242563,0.0002301323],"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":[0.001600613,0.0003455461,0.02585137,0.0009978099,0.0001635407,0.001494769,0.0008695167,0.08743692,0.250988,0.5470461,0.01220729,0.07099852],"study_design_scores_gemma":[0.0001643877,0.0003284387,0.04287856,0.0001565547,0.00006404101,0.001411799,0.001004974,0.398562,0.06488069,0.4861639,0.004222173,0.0001624702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9483336,0.0003057123,0.0354056,0.000576251,0.00004564413,0.00001888012,0.0003480777,0.0002469306,0.01471927],"genre_scores_gemma":[0.9952269,0.00002882261,0.003862924,0.0000213427,0.0000113876,0.00001416572,0.00008207532,0.00002698971,0.0007253127],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004183213,"threshold_uncertainty_score":0.01399422,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01596608424719482,"score_gpt":0.2525896235563258,"score_spread":0.236623539309131,"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."}}