{"id":"W7066402986","doi":"","title":"Hamiltonian cycles in Caley graphs whose order has few prime factors","year":2012,"lang":"en","type":"article","venue":"Open ULeth Scholarship (OPUS) (University of Lethbridge)","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Factorization; Hamiltonian path; Graph; Hamiltonian (control theory); Prime (order theory); Prime factor; Order (exchange)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00452603,0.0004307341,0.0008398292,0.0007170914,0.000608933,0.0002501831,0.002613463,0.0004201217,0.0009413593],"category_scores_gemma":[0.001152034,0.0004924581,0.0002348671,0.001368029,0.000685886,0.003090269,0.00149296,0.001457407,0.000323436],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002788418,"about_ca_system_score_gemma":0.0002732022,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002920726,"about_ca_topic_score_gemma":0.001443545,"domain_scores_codex":[0.9957471,0.001185463,0.0004323471,0.0006199963,0.0008719771,0.001143132],"domain_scores_gemma":[0.9965333,0.001089424,0.0003504542,0.001195487,0.000303129,0.000528191],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.000731866,0.001870432,0.8805007,0.0004577268,0.0003248004,0.0001466357,0.02048178,0.000005222313,0.01130032,0.0754097,0.003541734,0.00522913],"study_design_scores_gemma":[0.003932433,0.0002268357,0.9334271,0.0005512296,0.0001452184,0.00002676948,0.008230277,0.0000343539,0.005019255,0.03194997,0.01521431,0.001242259],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.989687,0.0001835389,0.0004301697,0.001132532,0.000174039,0.001061887,0.00008781437,0.0000859393,0.007157066],"genre_scores_gemma":[0.9819633,0.00004680705,0.01415048,0.00009925741,0.00003627418,0.000002464519,0.00004205737,0.00007777454,0.003581607],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05292643,"threshold_uncertainty_score":0.9999719,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2055712629688239,"score_gpt":0.3548160563957892,"score_spread":0.1492447934269653,"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."}}