{"id":"W2036368491","doi":"10.1016/j.jctb.2004.10.001","title":"Average independence polynomials","year":2004,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":35,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Independence (probability theory); Mathematics; Combinatorics; Polynomial; Discrete mathematics; Graph; Statistics; 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":[0.001315445,0.0008483176,0.001382919,0.002828027,0.00239263,0.003395447,0.001887486,0.001136609,0.02813197],"category_scores_gemma":[0.01171936,0.0008138391,0.0009582434,0.002401251,0.002982422,0.007219566,0.002468429,0.005282843,0.003337115],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001898559,"about_ca_system_score_gemma":0.001114988,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001211975,"about_ca_topic_score_gemma":0.00153506,"domain_scores_codex":[0.9985278,0.0002837666,0.00004171762,0.0003977054,0.0004485156,0.0003005757],"domain_scores_gemma":[0.993763,0.002936911,0.0006169081,0.001024903,0.0008447016,0.0008136278],"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":[0.00003971057,0.00002633423,0.0003270444,0.000025684,0.000009922937,0.00002782792,0.00005679711,0.001220726,0.000426649,0.9864615,0.005385963,0.005991812],"study_design_scores_gemma":[0.000009860506,0.000009695882,0.0006881593,0.00001026219,0.0000139075,0.0001406979,0.00002503759,0.01097728,0.0005273848,0.9834011,0.004180414,0.0000161765],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2664292,0.001808163,0.2503981,0.006471654,0.001073963,0.0001004336,0.001846061,0.001156003,0.4707165],"genre_scores_gemma":[0.91344,0.001037074,0.0146464,0.000763966,0.00146336,0.00009577991,0.001046577,0.0004454619,0.06706148],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02813197,"threshold_uncertainty_score":0.09411079,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02101477562931631,"score_gpt":0.2946448834877913,"score_spread":0.273630107858475,"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."}}