{"id":"W2399302252","doi":"","title":"The Minimal Limit Point of the Third Largest Laplacian Eigenvalues of Graphs.","year":2012,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Limit (mathematics); Laplace operator; Point (geometry); Pure mathematics; Combinatorics; Mathematical analysis; Geometry; 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":[0.0005760756,0.000600749,0.0006009421,0.002627112,0.001196431,0.00259383,0.001248106,0.001578262,0.009012189],"category_scores_gemma":[0.005721109,0.0003557336,0.0005214675,0.0007320386,0.002336817,0.002182903,0.001497611,0.001681207,0.001989954],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001104066,"about_ca_system_score_gemma":0.0005764977,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007139134,"about_ca_topic_score_gemma":0.0007934406,"domain_scores_codex":[0.9997101,0.00007450534,0.00001085647,0.0000543022,0.00008494443,0.00006519895],"domain_scores_gemma":[0.9981617,0.0006657257,0.0002712772,0.0001432807,0.0002933248,0.0004646974],"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":[0.0001486125,0.00006316894,0.0009163786,0.0001218694,0.00002538199,0.0003298895,0.000310545,0.002939844,0.007095631,0.9709383,0.006842543,0.01026776],"study_design_scores_gemma":[0.0000440454,0.0000397895,0.001300259,0.00006125079,0.00001446897,0.0005130256,0.0002793691,0.0313611,0.002900098,0.9599085,0.003546812,0.00003125164],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6446857,0.002672275,0.1958069,0.005791062,0.0008615504,0.00008236741,0.0006697416,0.001247377,0.1481831],"genre_scores_gemma":[0.9688975,0.0005992054,0.01530827,0.000366382,0.0003079801,0.0001241313,0.000213308,0.0002267665,0.0139565],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009012189,"threshold_uncertainty_score":0.0301488,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02493941627758881,"score_gpt":0.2732886954738027,"score_spread":0.2483492791962139,"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."}}