{"id":"W119157955","doi":"","title":"The bounds of spectral radius of graphs with a given size of independent set.","year":2008,"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; Spectral radius; RADIUS; Set (abstract data type); Combinatorics; Physics; Computer science; Quantum mechanics; Eigenvalues and eigenvectors","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":[0.00355746,0.001337479,0.001557235,0.003424428,0.001734729,0.003395536,0.003547054,0.002038817,0.00795905],"category_scores_gemma":[0.04092782,0.0009278915,0.001182897,0.001955274,0.003393008,0.007658106,0.003195387,0.002913115,0.001791238],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002094992,"about_ca_system_score_gemma":0.0007901633,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009891198,"about_ca_topic_score_gemma":0.0008206008,"domain_scores_codex":[0.9970487,0.001060121,0.0001011004,0.0006262721,0.0006615897,0.000502221],"domain_scores_gemma":[0.9579966,0.03121248,0.002201592,0.003790536,0.002130273,0.002668462],"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":[0.0007476952,0.0001159537,0.002953463,0.0004981778,0.0001594471,0.0002255467,0.0006164184,0.04512853,0.008832,0.8993096,0.0166114,0.02480165],"study_design_scores_gemma":[0.00005388513,0.0001027458,0.003280979,0.0001500748,0.0001282307,0.0007150384,0.000322188,0.1586319,0.00653883,0.8211318,0.008870213,0.0000741989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4203913,0.01659952,0.3885433,0.008263337,0.0009167511,0.0001470571,0.002703547,0.001581797,0.1608534],"genre_scores_gemma":[0.9581073,0.003014497,0.03137108,0.0005255449,0.0007280075,0.0002062656,0.0006812348,0.0003933735,0.004972541],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00795905,"threshold_uncertainty_score":0.02662563,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01937953912382407,"score_gpt":0.2562238520227885,"score_spread":0.2368443128989644,"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."}}