{"id":"W2050823015","doi":"10.1006/jcta.2001.3230","title":"Tree-like Properties of Cycle Factorizations","year":2002,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series A","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":61,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Bijection; Combinatorics; Mathematics; Vertex (graph theory); Factorization; Generalization; Tree (set theory); Tuple; Product (mathematics); Degree (music); Class (philosophy); Set (abstract data type); Discrete mathematics; Computer science; Graph; Algorithm; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0003641556,0.0001303805,0.0003213934,0.0001221138,0.00006111735,0.00002737031,0.0002222075,0.00007753018,0.0002059153],"category_scores_gemma":[0.00007389892,0.0001039938,0.000149357,0.0002061317,0.0000944733,0.0004101361,0.00001511892,0.0001665021,0.000006481473],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002159362,"about_ca_system_score_gemma":0.00001075377,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.35069e-7,"about_ca_topic_score_gemma":4.301303e-7,"domain_scores_codex":[0.9989469,0.000130528,0.0005087511,0.00005228431,0.0002162211,0.0001453195],"domain_scores_gemma":[0.9993765,0.0000555507,0.0001834071,0.0001563382,0.0001559653,0.0000722624],"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":[0.0004069404,0.0002431668,0.00024362,0.0002466466,0.0004425482,0.0000187524,0.005899955,0.002033825,0.06967581,0.9167781,0.001863172,0.002147415],"study_design_scores_gemma":[0.004195848,0.001699743,0.0002564834,0.0007551204,0.0002494638,0.0003652405,0.006342308,0.001041536,0.2251187,0.6960431,0.06307817,0.0008543169],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9726735,0.002776579,0.0005822701,0.00003948666,0.01190909,0.0001311303,0.000006878445,0.0000799534,0.01180105],"genre_scores_gemma":[0.9991889,0.0001303108,0.00003190631,0.000005006693,0.0003403971,0.00000247756,2.840233e-7,0.00002359917,0.0002771185],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.220735,"threshold_uncertainty_score":0.4240744,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01084859978924495,"score_gpt":0.1736988289356489,"score_spread":0.1628502291464039,"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."}}