{"id":"W2529460726","doi":"10.1002/jcd.21536","title":"Triple Systems are Eulerian","year":2016,"lang":"en","type":"article","venue":"Journal of Combinatorial Designs","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Eulerian path; Mathematics; Combinatorics; Steiner system; Euler's formula; Triple system; Order (exchange); Graph; Context (archaeology); Rank (graph theory); Discrete mathematics; Pure mathematics; Lagrangian; Mathematical analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.0007285718,0.000141571,0.0003699201,0.0001496335,0.00004629238,0.00005339937,0.0002576651,0.0001101924,0.0000373651],"category_scores_gemma":[0.00008483352,0.00009154186,0.0001539674,0.0001524349,0.00002690284,0.0002593503,0.000008732488,0.000130815,0.00004563516],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000862919,"about_ca_system_score_gemma":0.00002903817,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000124803,"about_ca_topic_score_gemma":2.135013e-7,"domain_scores_codex":[0.9987541,0.0001555174,0.0005321821,0.00006822766,0.0002775418,0.0002124024],"domain_scores_gemma":[0.9991469,0.000136096,0.0002399647,0.0001694621,0.0001529657,0.0001546066],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0007570711,0.0003194146,0.003489919,0.0004568881,0.001042184,0.0005425625,0.0006904584,0.001757453,0.3500452,0.5218002,0.1151702,0.003928449],"study_design_scores_gemma":[0.03223616,0.003452846,0.006491261,0.00549903,0.0004918835,0.002066896,0.001695296,0.0009697729,0.1042679,0.2382981,0.6018344,0.002696513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8007712,0.003920364,0.04447251,0.0002093922,0.1407192,0.0005378714,0.00002632962,0.0003300097,0.009013074],"genre_scores_gemma":[0.9983027,0.00005118501,0.00002303734,0.000004277273,0.001380581,0.00000398727,1.26819e-7,0.00002944125,0.0002046829],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4866641,"threshold_uncertainty_score":0.3732969,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01717736666673144,"score_gpt":0.2061783393717065,"score_spread":0.189000972704975,"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."}}