{"id":"W4200032008","doi":"10.1515/spma-2021-0152","title":"Graphs with the second signless Laplacian eigenvalue ≤ 4","year":2021,"lang":"en","type":"article","venue":"Special Matrices","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Knapsack problem; Combinatorics; Mathematics; Eigenvalues and eigenvectors; Simple (philosophy); Laplace operator; Discrete mathematics; Class (philosophy); Laplacian matrix; Graph; Computer science; Mathematical optimization; 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":[0.0002295459,0.0003657774,0.0003471364,0.001302626,0.0006732967,0.00121472,0.0005134573,0.000927784,0.004015715],"category_scores_gemma":[0.001513062,0.0001986367,0.0003018003,0.0005394472,0.001933556,0.001227715,0.0007294999,0.0006054132,0.0002794858],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003130089,"about_ca_system_score_gemma":0.000172839,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003984576,"about_ca_topic_score_gemma":0.000508912,"domain_scores_codex":[0.9997783,0.0000511316,0.000008001997,0.00005271607,0.00005595516,0.00005389408],"domain_scores_gemma":[0.9988986,0.000433336,0.0002617842,0.00009245033,0.0001173564,0.00019643],"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":[0.0002588198,0.00008201296,0.003843872,0.0001594602,0.0000412168,0.0007520393,0.0006122126,0.01302758,0.03368422,0.9330496,0.003124739,0.01136425],"study_design_scores_gemma":[0.00002878161,0.00005396924,0.002199923,0.00002170898,0.00001074878,0.0003535289,0.0003269937,0.02718133,0.003990484,0.9637975,0.002015077,0.0000199273],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9718971,0.0001083975,0.01652497,0.0004788385,0.00004109552,0.00001203776,0.00007204466,0.00006624955,0.01079923],"genre_scores_gemma":[0.9951265,0.00005117598,0.002590309,0.0000771545,0.00004285646,0.00001056711,0.00007041249,0.00001457089,0.002016484],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004015715,"threshold_uncertainty_score":0.01343387,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02073033612705072,"score_gpt":0.267299869615429,"score_spread":0.2465695334883782,"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."}}