{"id":"W4408720272","doi":"10.26493/1855-3974.3471.51f","title":"Decompositions of the wreath product of certain directed graphs into directed hamiltonian cycles","year":2025,"lang":"en","type":"article","venue":"Ars Mathematica Contemporanea","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Wreath product; Mathematics; Combinatorics; Directed graph; Product (mathematics); Hamiltonian (control theory); Discrete mathematics; Geometry; Mathematical optimization","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":[0.0005884366,0.0004965239,0.0003681501,0.001280247,0.0007646588,0.001256343,0.0008745952,0.0005119814,0.007538706],"category_scores_gemma":[0.00277065,0.0005086683,0.0007984324,0.0009810088,0.001481112,0.002948203,0.001138345,0.001468504,0.0005871111],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004904514,"about_ca_system_score_gemma":0.0002582875,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005884205,"about_ca_topic_score_gemma":0.0007676898,"domain_scores_codex":[0.9993881,0.000117944,0.00004155823,0.0002010041,0.0001420815,0.0001092379],"domain_scores_gemma":[0.9977474,0.0009026389,0.0004551111,0.0003834207,0.0002217817,0.0002897244],"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":[0.0000987498,0.00005239383,0.001104408,0.0001839247,0.0000388831,0.0006548795,0.0007516405,0.01227845,0.005723657,0.9531337,0.001891615,0.02408773],"study_design_scores_gemma":[0.00003118359,0.00005859528,0.0006781706,0.00003292699,0.00003001131,0.000580546,0.0002958422,0.03820392,0.00414728,0.9471878,0.008735285,0.00001836308],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5570344,0.0008101626,0.3883006,0.0005896276,0.000115527,0.000186905,0.0006874223,0.0002464997,0.05202873],"genre_scores_gemma":[0.887931,0.0007194109,0.09583514,0.0002102786,0.0001369324,0.0001437245,0.001038994,0.0001545993,0.01383001],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007538706,"threshold_uncertainty_score":0.0252195,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007890167093602561,"score_gpt":0.2210453852020529,"score_spread":0.2131552181084503,"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."}}