{"id":"W2807469515","doi":"","title":"On the nullity of bicyclic graphs","year":2008,"lang":"en","type":"article","venue":"HKBU Institutional Repository (Hong Kong Baptist University)","topic":"Graph theory and applications","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Bicyclic molecule; Combinatorics; Eigenvalues and eigenvectors; Multiplicity (mathematics); Vertex (graph theory); Graph; Mathematics; Discrete mathematics; Chemistry; Physics; Stereochemistry; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001464554,0.0005765079,0.000766399,0.003808378,0.001768321,0.002429398,0.001197263,0.0007026062,0.003080438],"category_scores_gemma":[0.008191051,0.0004489243,0.0004378314,0.001553401,0.003412377,0.003097919,0.002276564,0.001140078,0.0003736946],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000933011,"about_ca_system_score_gemma":0.0004102779,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006826681,"about_ca_topic_score_gemma":0.0005771701,"domain_scores_codex":[0.998684,0.000394486,0.0001032706,0.0002478378,0.0003262684,0.0002440871],"domain_scores_gemma":[0.9895536,0.00530275,0.001554137,0.0009163676,0.001401732,0.001271357],"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":[0.0006749446,0.00008528922,0.01005979,0.0002140132,0.00005485766,0.0004447168,0.001052729,0.01197547,0.01346506,0.9442126,0.001876253,0.01588428],"study_design_scores_gemma":[0.00003901302,0.00009142239,0.003172417,0.00007290803,0.00002452219,0.0004553673,0.0005765075,0.03963964,0.004315598,0.9491245,0.002434926,0.00005317163],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9403191,0.0005865509,0.03870048,0.00050186,0.00003516558,0.00002897998,0.0005093851,0.00009922554,0.01921937],"genre_scores_gemma":[0.9947786,0.0002353196,0.003166307,0.00005707239,0.00004324417,0.00002800389,0.000369687,0.00003168757,0.001290037],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003808378,"threshold_uncertainty_score":0.01030505,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04195932457608987,"score_gpt":0.2257228167917484,"score_spread":0.1837634922156586,"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."}}