{"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":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0004539796,0.0001456046,0.0001611065,0.0000203125,0.001813194,0.0002013347,0.0007903061,0.00007616915,0.00001829786],"category_scores_gemma":[0.000216015,0.0000992501,0.00009188743,0.00007944511,0.0002836013,0.0001469494,0.00005589983,0.0001852077,0.00004359525],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001873731,"about_ca_system_score_gemma":0.00003555265,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001916953,"about_ca_topic_score_gemma":0.00007097641,"domain_scores_codex":[0.9990894,0.00003915455,0.0001655672,0.0002207265,0.0001842957,0.0003009244],"domain_scores_gemma":[0.9980613,0.0005386134,0.0002243752,0.001016127,0.00007935554,0.00008024198],"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":[0.00004823861,0.0000760528,0.004741939,0.00001246278,0.00004803805,0.000002223388,0.0001525063,8.578287e-8,0.00007188953,0.9916773,0.002771969,0.0003972442],"study_design_scores_gemma":[0.0008305451,0.00006711281,0.004125759,0.00002167473,0.00004109527,0.00001217399,0.00007551107,0.00001452643,0.001358701,0.9875656,0.005735764,0.0001514807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.982594,0.00002136899,0.00007536522,0.00130167,0.0004712195,0.0006908918,0.00001479286,0.00008594211,0.01474475],"genre_scores_gemma":[0.9974952,0.0000143318,0.000926066,0.00002768978,0.00001346458,0.0002192343,0.000002552509,0.00002664972,0.001274826],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01490119,"threshold_uncertainty_score":0.9994863,"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."}}