{"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":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0001557325,0.0001400661,0.0001621376,0.0001773445,0.001386684,0.00001001657,0.0003862977,0.00008180778,0.00006351054],"category_scores_gemma":[0.0001265095,0.0001183986,0.0001812585,0.0005393844,0.00108204,0.0001370464,0.00006146778,0.0002047572,0.00003341162],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008900883,"about_ca_system_score_gemma":0.0001443236,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003759078,"about_ca_topic_score_gemma":0.000006294575,"domain_scores_codex":[0.9989685,0.0001243541,0.0002085205,0.0002406928,0.0003037503,0.0001541556],"domain_scores_gemma":[0.9986135,0.0005592431,0.0001629302,0.0004656599,0.0001239801,0.00007467535],"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":[0.00005760958,0.0002148236,0.001891434,0.00001570253,0.00004999317,0.000097223,0.00008864576,0.00004833195,0.001874516,0.9947408,0.0008986123,0.00002229685],"study_design_scores_gemma":[0.001217922,0.0001734101,0.06098939,0.0002472853,0.0002075359,0.0005940615,0.0004116655,0.0001563704,0.02048202,0.8739117,0.04092941,0.0006791963],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.871804,0.00001303107,0.0008490934,0.0001129942,0.0001377326,0.0001811391,0.00002107684,0.00007215564,0.1268087],"genre_scores_gemma":[0.9941355,0.00001283692,0.0005893048,0.00003524024,0.00003411087,0.000002688347,0.000005618702,0.000007713948,0.005176984],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1223315,"threshold_uncertainty_score":0.9999134,"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."}}