{"id":"W2036312115","doi":"10.1016/j.jctb.2004.09.005","title":"Counting connected graphs inside-out","year":2004,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Bayesian Methods and Mixture Models","field":"Computer Science","cited_by":108,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Combinatorics; Mathematics; Enumeration; Vertex (graph theory); Connected component; Partition (number theory); Path graph; Degree (music); Discrete mathematics; Graph; Graph power; Line graph; Physics","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":[],"consensus_categories":[],"category_scores_codex":[0.002215106,0.0001824383,0.0004029624,0.0001789779,0.0001674329,0.0002136652,0.000900637,0.0001162109,0.00001574541],"category_scores_gemma":[0.00048539,0.000148288,0.0001971452,0.0003489822,0.0001114686,0.001369154,0.0001352193,0.0003982143,0.000005665222],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006843424,"about_ca_system_score_gemma":0.000291726,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002594495,"about_ca_topic_score_gemma":9.532142e-7,"domain_scores_codex":[0.9982072,0.0003401607,0.0005778778,0.0001749071,0.0004227652,0.00027705],"domain_scores_gemma":[0.9981837,0.0002742025,0.000550685,0.0003500137,0.0004856842,0.0001557686],"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":[0.0001321247,0.00006686818,0.00001236331,0.000007734729,0.00004977201,0.00008543013,0.00108926,0.00001331103,0.002477782,0.9909279,0.0001297254,0.005007717],"study_design_scores_gemma":[0.001580543,0.000447909,0.00004856954,0.0000668979,0.00001916931,0.0002799878,0.00005184511,0.000009492752,0.01648496,0.9769621,0.003876231,0.0001723304],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03835228,0.0003762661,0.9451465,0.0007964541,0.0110472,0.00008620624,8.184971e-7,0.00006256452,0.004131724],"genre_scores_gemma":[0.8649027,0.0000585509,0.1340518,0.0003357335,0.0005568862,0.000001419561,2.677365e-7,0.00001657401,0.00007612728],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8265504,"threshold_uncertainty_score":0.6047011,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01152035719613075,"score_gpt":0.2496369002918883,"score_spread":0.2381165430957575,"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."}}