{"id":"W3022932399","doi":"10.26493/2590-9770.1250.763","title":"Cayley graphs of order kp are hamiltonian for k &lt; 48","year":2020,"lang":"en","type":"article","venue":"The Art of Discrete and Applied Mathematics","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Cayley graph; Hamiltonian (control theory); Mathematics; Combinatorics; Vertex-transitive graph; Graph; Discrete mathematics; Voltage graph; Line 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001415485,0.0001170376,0.0002833423,0.00002068315,0.00004197588,0.000008433941,0.000140058,0.00003988956,0.000008596072],"category_scores_gemma":[0.00001222415,0.00007992124,0.00006231682,0.000123344,0.00007956628,0.00002267165,0.0000265043,0.00005355024,0.000004256894],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000001526472,"about_ca_system_score_gemma":0.000002891755,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.115854e-7,"about_ca_topic_score_gemma":0.000002013386,"domain_scores_codex":[0.9994373,0.000005434685,0.000262242,0.00007975179,0.00009373595,0.0001214772],"domain_scores_gemma":[0.9995757,0.00007643302,0.00008987219,0.0001911977,0.00002134848,0.00004543365],"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":[0.00005526916,0.00004817396,0.0000387478,0.004485826,0.0002713643,4.393649e-7,0.01201178,0.001541735,0.1090126,0.8683116,0.003692654,0.0005297635],"study_design_scores_gemma":[0.003711533,0.0003600668,0.0003205115,0.0008148688,0.0007471123,0.00001550362,0.03082738,0.0557988,0.3507607,0.5382856,0.01699818,0.001359704],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9424957,0.0004128384,0.0269346,0.0003884366,0.00007491913,0.001002293,0.0001175593,0.0001400393,0.02843361],"genre_scores_gemma":[0.9964922,0.00002709491,0.003325877,0.00003845178,0.00001851409,0.00003261687,0.000004130191,0.00002394605,0.00003715724],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.330026,"threshold_uncertainty_score":0.3259093,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01254675747836949,"score_gpt":0.1974173658677039,"score_spread":0.1848706083893344,"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."}}