{"id":"W1906735889","doi":"10.1016/j.dam.2019.09.016","title":"On split graphs with four distinct eigenvalues","year":2019,"lang":"en","type":"preprint","venue":"Discrete Applied Mathematics","topic":"Graph theory and applications","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; Science Foundation Ireland; University of Manitoba","keywords":"Combinatorics; Mathematics; Eigenvalues and eigenvectors; Vertex (graph theory); Graph; Split graph; Block graph; Chordal graph; Discrete mathematics; Cograph; 1-planar graph; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0004620395,0.00122263,0.0008765712,0.003172309,0.00168575,0.002277799,0.001210818,0.001825213,0.01132492],"category_scores_gemma":[0.002307109,0.0005680291,0.0006430483,0.001130624,0.002581765,0.003189872,0.002456276,0.00197977,0.001730463],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008640326,"about_ca_system_score_gemma":0.000347637,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005146575,"about_ca_topic_score_gemma":0.0006316512,"domain_scores_codex":[0.9995153,0.0001564675,0.00001450215,0.00009793493,0.0001219986,0.00009372237],"domain_scores_gemma":[0.998446,0.000689705,0.0002523481,0.0001526589,0.0001620525,0.0002971958],"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":[0.0001082847,0.00004695557,0.0003085879,0.00008400012,0.00001375189,0.0002212043,0.000350773,0.003380921,0.002700977,0.9808453,0.003862366,0.008076888],"study_design_scores_gemma":[0.0000177838,0.00001157693,0.0002110605,0.00001908866,0.000006436089,0.0001186041,0.0001419976,0.01203934,0.0004591437,0.9858729,0.001093548,0.000008451145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7562487,0.0009175495,0.1235564,0.003127361,0.0006412425,0.0000927177,0.0005710503,0.0004179523,0.1144271],"genre_scores_gemma":[0.9332466,0.0006456522,0.02522901,0.000584722,0.0004398435,0.0001327299,0.0004996303,0.0003511315,0.03887063],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01132492,"threshold_uncertainty_score":0.03788561,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04342340528400412,"score_gpt":0.2923687122327828,"score_spread":0.2489453069487787,"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."}}