{"id":"W3038218193","doi":"10.1016/j.disc.2020.112043","title":"Counting independent sets in Riordan graphs","year":2020,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Group for Research in Decision Analysis; HEC Montréal","funders":"National Research Foundation of Korea; Ministry of Education; Ministry of Science, ICT and Future Planning; National Research Foundation","keywords":"Mathematics; Toeplitz matrix; Combinatorics; Enumeration; Discrete mathematics; Indifference graph; Pathwidth; 1-planar graph; Generalization; Graph; Chordal graph; Line graph","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":[0.002461767,0.0009470504,0.001562496,0.005059557,0.002905287,0.00528167,0.004783873,0.002373347,0.005818137],"category_scores_gemma":[0.0111923,0.001184989,0.001408302,0.003675052,0.003468043,0.007602023,0.002659773,0.003141767,0.0006527493],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002935881,"about_ca_system_score_gemma":0.0009511277,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002800425,"about_ca_topic_score_gemma":0.004596435,"domain_scores_codex":[0.9978901,0.0007682187,0.0001013759,0.000384845,0.0005835728,0.0002719462],"domain_scores_gemma":[0.9908375,0.006052061,0.0009424905,0.0008059957,0.000753033,0.0006090326],"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":[0.00005031164,0.00002913548,0.0005570202,0.00006784436,0.00001969746,0.00005639217,0.0001988968,0.002250281,0.000563887,0.9905757,0.001372231,0.004258497],"study_design_scores_gemma":[0.00001555293,0.00000821355,0.0003749013,0.00002626382,0.00002469051,0.00008148369,0.00008118096,0.01819844,0.0004396931,0.9790371,0.001699868,0.00001270578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5900363,0.002106057,0.2367954,0.003628849,0.0003974338,0.0001731143,0.0006507092,0.0005265865,0.1656856],"genre_scores_gemma":[0.9095834,0.001059752,0.05986966,0.0007720913,0.0004018288,0.0002049134,0.0007120128,0.0002460615,0.02715016],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005818137,"threshold_uncertainty_score":0.02130145,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0475157165945729,"score_gpt":0.3164951199427309,"score_spread":0.268979403348158,"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."}}