{"id":"W1935837271","doi":"10.26493/1855-3974.280.8d3","title":"Cayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian","year":2013,"lang":"en","type":"article","venue":"Ars Mathematica Contemporanea","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Mathematics; Nilpotent; Commutator subgroup; Cayley graph; Combinatorics; Commutator; Cayley's theorem; Hamiltonian (control theory); Characteristic subgroup; Nilpotent group; Pure mathematics; Discrete mathematics; Algebra over a field; Normal subgroup; Group (periodic table); Graph","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":[0.0001373089,0.0002860872,0.0002548273,0.0007418134,0.0009150983,0.001003371,0.0004307492,0.0003846615,0.006089005],"category_scores_gemma":[0.0008137865,0.0002080822,0.0002755971,0.0006397539,0.001019811,0.001172221,0.0006833271,0.0004566919,0.0004308624],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004674666,"about_ca_system_score_gemma":0.0003186602,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001293015,"about_ca_topic_score_gemma":0.002374327,"domain_scores_codex":[0.9998454,0.00003373462,0.000006658668,0.00003801711,0.00003307009,0.00004311647],"domain_scores_gemma":[0.99932,0.0002547325,0.0001568498,0.00007662686,0.00007834153,0.0001133452],"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":[0.00006608038,0.00003842418,0.002176238,0.0001039291,0.00003185984,0.0006868701,0.0007936171,0.003149332,0.008659565,0.9676151,0.002114118,0.01456475],"study_design_scores_gemma":[0.00003670882,0.00004559903,0.001403605,0.0000207156,0.00003345766,0.0004364961,0.0005293206,0.01454512,0.004996787,0.970338,0.007596089,0.0000180057],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8960927,0.0003728993,0.04555017,0.0004330768,0.0001109745,0.00005592378,0.0002316407,0.000231174,0.05692139],"genre_scores_gemma":[0.9880137,0.000221769,0.005515803,0.0001335937,0.00004181175,0.00003269671,0.0001695588,0.00003058511,0.005840546],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006089005,"threshold_uncertainty_score":0.02036977,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05551745062615196,"score_gpt":0.2872404894410327,"score_spread":0.2317230388148807,"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."}}