{"id":"W3022978723","doi":"10.1016/j.laa.2020.04.029","title":"The main eigenvalues of signed graphs","year":2020,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Graph theory and applications","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Mathematics; Combinatorics; Eigenvalues and eigenvectors; Vertex (graph theory); Adjacency matrix; Strongly regular graph; Chordal graph; Conjecture; Discrete mathematics; Cayley graph; Signed graph; Graph; Pathwidth; Line graph","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":[0.0001708442,0.00009211369,0.0001251659,0.00001994251,0.0003426717,0.00001682926,0.000218983,0.00004375773,0.00002949063],"category_scores_gemma":[0.0001022939,0.00006623039,0.00006193052,0.00033171,0.0001149081,0.00003727969,0.00004919432,0.00008673714,0.00003073398],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000002136063,"about_ca_system_score_gemma":0.00001579517,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.779092e-7,"about_ca_topic_score_gemma":0.00000180653,"domain_scores_codex":[0.9993187,0.00003859369,0.0002532571,0.0001693013,0.00009784392,0.0001223005],"domain_scores_gemma":[0.9989702,0.0005209323,0.0001044588,0.0002542018,0.00005890106,0.00009130804],"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":[0.000006060434,0.00003600114,0.00001604689,0.00002946486,0.0000214568,5.372171e-8,0.0002937603,7.057736e-7,0.008686163,0.9887944,0.0007581016,0.001357763],"study_design_scores_gemma":[0.0001417972,0.0000320951,0.0001064283,0.000004850363,0.00004691652,0.000001492514,0.0003519972,0.0006243258,0.01035699,0.9617472,0.0264919,0.00009397757],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.872894,0.003557423,0.08027415,0.02556911,0.00004957125,0.004421022,0.0003807561,0.0005172089,0.01233675],"genre_scores_gemma":[0.9959143,0.0002180467,0.002989108,0.0002512762,0.00007128849,0.0003198106,0.00001024715,0.00001683865,0.0002090808],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1230203,"threshold_uncertainty_score":0.2700797,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03800301192216106,"score_gpt":0.2919343721434654,"score_spread":0.2539313602213044,"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."}}