{"id":"W3186838640","doi":"10.1080/03081087.2021.1954584","title":"Symmetric Pascal matrices and related graphs","year":2021,"lang":"en","type":"article","venue":"Linear and Multilinear Algebra","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"National Research Foundation of Korea; Ministry of Education; Ministry of Science, ICT and Future Planning; National Research Foundation","keywords":"Mathematics; Combinatorics","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":[0.000447081,0.0004546127,0.0003779179,0.002688634,0.0009845645,0.001414508,0.0005991357,0.000663128,0.008469299],"category_scores_gemma":[0.002891659,0.0002312995,0.0003375268,0.001548367,0.002223016,0.002021387,0.0009510063,0.000928906,0.001340651],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006773291,"about_ca_system_score_gemma":0.0003895028,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001339532,"about_ca_topic_score_gemma":0.001130618,"domain_scores_codex":[0.9994124,0.000140357,0.00001598198,0.0001033397,0.0002075928,0.0001203975],"domain_scores_gemma":[0.9988288,0.000370367,0.0002217374,0.0001113082,0.0002835446,0.0001842939],"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":[0.00001022471,0.00001146032,0.0001553502,0.00002125171,0.000002772146,0.00006082836,0.0001117661,0.002100231,0.0005755114,0.9906638,0.00144656,0.004840243],"study_design_scores_gemma":[0.000004099657,0.0000102643,0.000245844,0.000008222966,0.000001871219,0.0001273772,0.000080367,0.01331603,0.0003787488,0.9814821,0.004333838,0.00001109463],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4713239,0.002745575,0.2625366,0.002014381,0.0006093293,0.0001207532,0.0006222456,0.0005975745,0.2594297],"genre_scores_gemma":[0.9529877,0.001029821,0.02655656,0.000402613,0.0005066838,0.00006017035,0.0003001989,0.0001456404,0.01801053],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008469299,"threshold_uncertainty_score":0.02833265,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02150167301156271,"score_gpt":0.2938175080813706,"score_spread":0.2723158350698079,"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."}}