{"id":"W2614091911","doi":"","title":"The majorization theorem and signless Dirichlet spectral radius of connected graphs.","year":2017,"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; Majorization; Spectral radius; Combinatorics; Dirichlet distribution; Eigenvalues and eigenvectors; Physics; Mathematical analysis","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":[0.0009229041,0.0006308444,0.0008700561,0.002482048,0.00122965,0.002567052,0.001406289,0.001306008,0.007780588],"category_scores_gemma":[0.008669041,0.0004218722,0.0005386554,0.001118963,0.003716576,0.004401239,0.002396208,0.002227308,0.001616254],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009698777,"about_ca_system_score_gemma":0.0003850161,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004795744,"about_ca_topic_score_gemma":0.0004042373,"domain_scores_codex":[0.9991508,0.0002833656,0.00002798313,0.0001681132,0.000235438,0.0001343131],"domain_scores_gemma":[0.9964538,0.001743337,0.0004085506,0.000405138,0.000422339,0.0005670011],"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":[0.00002376321,0.000009050274,0.0001298156,0.00002772404,0.000005047888,0.00002625415,0.00006942108,0.0005981632,0.0007184314,0.9931924,0.001941617,0.003258341],"study_design_scores_gemma":[0.000009629734,0.000006525617,0.0002354841,0.000008595826,0.000004096819,0.00008770888,0.00003549269,0.004376355,0.0003780256,0.9933679,0.00148326,0.000006967861],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4509627,0.004150506,0.246757,0.007671256,0.0009610644,0.00006862548,0.000641365,0.0007603879,0.2880272],"genre_scores_gemma":[0.9705903,0.0009184579,0.01175738,0.0005299707,0.0006497642,0.00007635378,0.0002174629,0.0001829986,0.01507735],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007780588,"threshold_uncertainty_score":0.02602863,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01970777913647579,"score_gpt":0.27927326883956,"score_spread":0.2595654897030842,"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."}}