{"id":"W4413186453","doi":"10.55016/ojs/cdm.v7i1.62051","title":"2-generated Cayley digraphs on nilpotent groups have hamiltonian paths","year":2012,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Nilpotent; Mathematics; Combinatorics; Cayley graph; Cayley's theorem; Hamiltonian (control theory); Nilpotent group; Discrete mathematics; Graph; Voltage graph","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001303033,0.0002742692,0.0002019305,0.0007397425,0.0006527316,0.0009403895,0.0003019088,0.0004084845,0.006901394],"category_scores_gemma":[0.000522306,0.0001966051,0.0002716807,0.0004780251,0.000540386,0.0009371414,0.0007203796,0.0004588928,0.0006218588],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004424312,"about_ca_system_score_gemma":0.0003516321,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008243824,"about_ca_topic_score_gemma":0.001416582,"domain_scores_codex":[0.9998569,0.00003112712,0.000007413928,0.00002882401,0.00003077029,0.00004492285],"domain_scores_gemma":[0.9995434,0.0001671278,0.00008398387,0.00004462396,0.00006731331,0.00009357656],"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":[0.00008515622,0.00006996321,0.001331031,0.00008527536,0.00001992448,0.0006365756,0.000718372,0.005012585,0.01008164,0.9579962,0.002561535,0.0214017],"study_design_scores_gemma":[0.00006012643,0.00008429294,0.00143263,0.0000183988,0.00001196158,0.000445488,0.0003097176,0.01863454,0.004471843,0.9626595,0.01184391,0.00002753949],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8381692,0.0003966783,0.07477557,0.0004695962,0.0001332505,0.00008908183,0.0005148309,0.0003779221,0.08507378],"genre_scores_gemma":[0.974585,0.0001694558,0.01265226,0.0001910094,0.0000517726,0.00006895357,0.0002925479,0.000029001,0.01195983],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006901394,"threshold_uncertainty_score":0.02308744,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01037015654171019,"score_gpt":0.2377313745768587,"score_spread":0.2273612180351485,"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."}}