{"id":"W4403638487","doi":"10.1080/23799927.2024.2416513","title":"A recurrence for the surface area of ( <i>n, k</i> )-arrangement graphs","year":2024,"lang":"en","type":"article","venue":"International Journal of Computer Mathematics Computer Systems Theory","topic":"Interconnection Networks and Systems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brock University","funders":"","keywords":"Surface (topology); Combinatorics; Mathematics; Geometry","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":[0.003429088,0.0002426834,0.0004862662,0.0002951675,0.00007683003,0.0007938691,0.002691254,0.00007393473,0.000006303992],"category_scores_gemma":[0.00002555673,0.0001542858,0.000499354,0.0002768268,0.00007302441,0.0004847665,0.0003097177,0.000236361,0.000007811698],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008317826,"about_ca_system_score_gemma":0.0001130403,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004151776,"about_ca_topic_score_gemma":6.990331e-7,"domain_scores_codex":[0.9969992,0.0002193762,0.001433914,0.0002649432,0.0008558886,0.0002266511],"domain_scores_gemma":[0.9946325,0.002693016,0.0008107696,0.0004751422,0.00131216,0.00007638245],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00003103128,0.0001433575,0.00001157833,0.0003513504,0.001179509,0.00004367002,0.003569977,0.03322963,0.00007919311,0.905991,0.02795716,0.02741252],"study_design_scores_gemma":[0.0003831825,0.0002774335,0.0000128226,0.002085473,0.000042678,0.00100305,0.00009699543,0.9414219,0.0001023991,0.03140554,0.02299526,0.0001732512],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001728323,0.003374176,0.9561255,0.0005990603,0.03752085,0.0004179883,0.00001297514,0.00005962788,0.0001614815],"genre_scores_gemma":[0.8381938,0.0001693944,0.1571241,0.0002403832,0.003964918,0.00002605929,0.0000025806,0.00003969733,0.0002391158],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9081923,"threshold_uncertainty_score":0.7655298,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02415245441467564,"score_gpt":0.2652987174020755,"score_spread":0.2411462629873999,"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."}}