{"id":"W2037445555","doi":"10.1006/eujc.2001.0456","title":"Hamilton-Connected Cayley Graphs on Hamiltonian Groups","year":2001,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Centre National de la Recherche Scientifique","keywords":"Mathematics; Combinatorics; Cayley graph; Valency; Bipartite graph; Hamiltonian (control theory); Hamiltonian path; Vertex-transitive graph; Pancyclic graph; Complete bipartite graph; Graph; Discrete mathematics; Voltage graph; Chordal graph; Line graph; 1-planar graph","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.004208013,0.0003241564,0.00052569,0.0006429666,0.000208488,0.0001215754,0.001082636,0.00006448834,0.0001743672],"category_scores_gemma":[0.001660163,0.0002772636,0.0003047008,0.001004355,0.0001372567,0.000228759,0.0001121264,0.001142764,0.0002956509],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001602728,"about_ca_system_score_gemma":0.00007107435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001039642,"about_ca_topic_score_gemma":0.000001373853,"domain_scores_codex":[0.9954806,0.001635495,0.0009868001,0.000251938,0.001078883,0.0005663097],"domain_scores_gemma":[0.9964454,0.001149933,0.0006562104,0.0006906947,0.0006654185,0.0003924136],"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":[0.0006394962,0.001298509,0.00270234,0.00007644176,0.0002250486,0.00629496,0.001944884,0.00002050811,0.0009927972,0.966686,0.01637406,0.002745006],"study_design_scores_gemma":[0.006879149,0.004643247,0.01565117,0.0004953643,0.0001263122,0.001892828,0.0005865273,0.0001052244,0.0008767133,0.908867,0.05904756,0.0008289229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9188259,0.000166478,0.001009925,0.0002886316,0.001056473,0.0001702347,0.000003854428,0.00008925959,0.0783892],"genre_scores_gemma":[0.9971109,0.0002252492,0.0005454828,0.0001804325,0.0002202264,0.00000106704,0.00000194634,0.0001394506,0.001575251],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07828495,"threshold_uncertainty_score":0.9999679,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06348036643430521,"score_gpt":0.3046526594731529,"score_spread":0.2411722930388477,"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."}}