{"id":"W2592557224","doi":"","title":"The Laplacian spectral radius for bicyclic graphs with given independence number.","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; Independence number; Spectral radius; Independence (probability theory); Laplace operator; Combinatorics; RADIUS; Statistics; Graph; Mathematical analysis; Physics; Eigenvalues and eigenvectors; Computer science; Quantum mechanics; Computer security","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":[0.0005776511,0.0004551063,0.0005501992,0.002436836,0.0009037891,0.001762856,0.001034607,0.000937028,0.005833024],"category_scores_gemma":[0.007404205,0.0002861788,0.0002166114,0.001296641,0.001565489,0.001949471,0.001243,0.0009604797,0.001097259],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001057196,"about_ca_system_score_gemma":0.0003672047,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001056723,"about_ca_topic_score_gemma":0.001059676,"domain_scores_codex":[0.999492,0.0001737919,0.00001810604,0.00009289716,0.0001225372,0.0001006067],"domain_scores_gemma":[0.9961969,0.002152391,0.0005252385,0.0002429001,0.0003352837,0.0005473953],"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":[0.0002947958,0.00006912227,0.001880007,0.0001846052,0.00003576921,0.0002088668,0.0004339835,0.02165143,0.006660595,0.9329467,0.01580161,0.0198325],"study_design_scores_gemma":[0.00003767007,0.00003791747,0.002316392,0.00006116462,0.00002730041,0.0004481171,0.0003663671,0.121942,0.002687946,0.8669668,0.005063427,0.00004492277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7728378,0.002504298,0.1016959,0.003036483,0.0002970247,0.00006055905,0.001449518,0.0007508261,0.1173677],"genre_scores_gemma":[0.9891133,0.0005977268,0.00539168,0.0001502362,0.0001444577,0.00004910311,0.0002941495,0.00008718177,0.004172181],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005833024,"threshold_uncertainty_score":0.01951343,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02427209226619297,"score_gpt":0.3051563585891428,"score_spread":0.2808842663229498,"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."}}