{"id":"W3173627995","doi":"10.35708/gc1868-126721","title":"The Leaf Function of Graphs Associated with Penrose Tilings","year":2020,"lang":"en","type":"article","venue":"International Journal of Graph Computing","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Fibonacci number; Combinatorics; Penrose tiling; Substitution tiling; Mathematics; Function (biology); Upper and lower bounds; Computation; Graph; Representation (politics); Euclidean geometry; Discrete mathematics; Geometry; Quasicrystal; Algorithm; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004519038,0.00009099402,0.0001550098,0.000108652,0.00006674871,0.0000480639,0.0003319057,0.00003296764,0.000005531452],"category_scores_gemma":[0.00009429623,0.00006293596,0.0001427934,0.0002427794,0.00005368788,0.0001119583,0.00001989332,0.000222991,0.000001248286],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001843773,"about_ca_system_score_gemma":0.00001619868,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001653205,"about_ca_topic_score_gemma":0.000002321085,"domain_scores_codex":[0.9989443,0.00005061267,0.0004401443,0.00006019509,0.0003981342,0.0001065823],"domain_scores_gemma":[0.9989264,0.000222416,0.0003402548,0.00005106555,0.0004059337,0.00005390319],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.002994384,0.0003460621,0.1544933,0.000215091,0.01341145,0.0003316787,0.01324212,0.5101653,0.09118871,0.1003551,0.006391509,0.1068652],"study_design_scores_gemma":[0.01896747,0.005929191,0.3437943,0.006215611,0.001106062,0.001252734,0.01381628,0.4504131,0.05003786,0.08504841,0.02075573,0.002663231],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.98397,0.0004003967,0.01360241,0.0001892311,0.001129929,0.00004271766,0.000002871708,0.0000398292,0.000622588],"genre_scores_gemma":[0.9996678,0.00002269672,0.00007582876,0.00006190904,0.0001522017,2.733464e-7,0.000001595802,0.00001333744,0.000004411424],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.189301,"threshold_uncertainty_score":0.2566454,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008884711683581311,"score_gpt":0.1996514041035703,"score_spread":0.1907666924199889,"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."}}