{"id":"W2403031090","doi":"","title":"Hamiltonian Cycles in Directed Toeplitz Graphs.","year":2013,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Finite Group Theory Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Toeplitz matrix; Mathematics; Combinatorics; Pure mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005873016,0.0001966502,0.0003081386,0.0002760728,0.00008187302,0.00008504041,0.0004492768,0.0001344661,0.0005746325],"category_scores_gemma":[0.0007597673,0.0001867316,0.00007896676,0.0006897188,0.0001166122,0.0002321924,0.0001610079,0.0003572699,0.0006826135],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009541539,"about_ca_system_score_gemma":0.00003828695,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002929821,"about_ca_topic_score_gemma":0.00006912951,"domain_scores_codex":[0.9981669,0.0002547678,0.0003541192,0.000315449,0.0003677354,0.0005410272],"domain_scores_gemma":[0.9981626,0.0008456676,0.00007012751,0.0006501897,0.0001295071,0.00014196],"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":[0.00001413439,0.0002930892,0.01831113,0.00004895144,0.00002295889,0.00001701723,0.0005313162,2.177411e-7,0.001376803,0.9702072,0.008015567,0.00116164],"study_design_scores_gemma":[0.0008103499,0.00005734141,0.05759501,0.00004558844,0.000004977445,0.000002968018,0.0001166887,0.0001773427,0.0008972983,0.9398322,0.0002599581,0.0002003072],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9835139,0.0000673922,0.000001369525,0.0002828244,0.0004965624,0.0005396627,0.000003128412,0.0002844264,0.01481072],"genre_scores_gemma":[0.9978828,0.00001303323,0.0009691331,0.0000538167,0.000005387762,0.0001533304,0.000005337537,0.00005271101,0.0008644316],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03928388,"threshold_uncertainty_score":0.8773843,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03408045449087615,"score_gpt":0.3019720306341958,"score_spread":0.2678915761433197,"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."}}