{"id":"W1765056582","doi":"10.1016/j.disc.2012.08.017","title":"Cayley graphs of order <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:mn>30</mml:mn><mml:mi>p</mml:mi></mml:math> are Hamiltonian","year":2012,"lang":"lv","type":"article","venue":"Discrete Mathematics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cayley graph; Combinatorics; Graph; Order (exchange); Discrete mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0002904747,0.0004856687,0.0003992587,0.001043535,0.001230597,0.002055317,0.0006461805,0.0005991154,0.04232182],"category_scores_gemma":[0.00216253,0.0004004265,0.0004582124,0.001052736,0.0008691972,0.002270557,0.0006124807,0.001324318,0.005583568],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001002357,"about_ca_system_score_gemma":0.00112912,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004196658,"about_ca_topic_score_gemma":0.008011432,"domain_scores_codex":[0.9996141,0.00006432768,0.000019064,0.00009750471,0.0001090095,0.00009608133],"domain_scores_gemma":[0.9981797,0.0005334812,0.0002133875,0.0003037352,0.0005425437,0.0002273214],"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":[0.00007356043,0.00003230099,0.0003675654,0.00009611334,0.00001651872,0.0002306033,0.0002523233,0.001400054,0.003523855,0.9527168,0.02496254,0.01632777],"study_design_scores_gemma":[0.00005539901,0.00004166085,0.0009611636,0.00004038463,0.00002328204,0.0002874119,0.0002522035,0.007181003,0.004668093,0.9145016,0.07194602,0.00004185052],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1822291,0.001340981,0.2672888,0.003258348,0.001392534,0.0003490573,0.008894571,0.003198667,0.5320479],"genre_scores_gemma":[0.7398723,0.00155497,0.05536887,0.001488261,0.0003935726,0.0002245533,0.006356867,0.0009516926,0.193789],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.04232182,"threshold_uncertainty_score":0.1415806,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03019745773083003,"score_gpt":0.2787445718120991,"score_spread":0.2485471140812691,"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."}}