{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002761382,0.0002714917,0.0002683132,0.0006606461,0.0009592354,0.001048219,0.0002269042,0.0003621831,0.00849875],"category_scores_gemma":[0.0009918857,0.0003177665,0.0003251877,0.000368854,0.001208716,0.001477989,0.0011684,0.0006423318,0.0007086364],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005065678,"about_ca_system_score_gemma":0.0006258189,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008490596,"about_ca_topic_score_gemma":0.001083737,"domain_scores_codex":[0.9995854,0.00006985021,0.00002922077,0.00008641866,0.0001145379,0.0001145559],"domain_scores_gemma":[0.9992607,0.0001605963,0.000149223,0.0001284842,0.0002013409,0.00009959326],"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":[0.0001355749,0.00003354344,0.001662229,0.0001028987,0.00001838751,0.0003586112,0.0004988587,0.01611974,0.01626279,0.9392844,0.002204657,0.02331833],"study_design_scores_gemma":[0.00003470419,0.0002201766,0.001510433,0.0001032638,0.00002673318,0.0008452966,0.0007464132,0.05229587,0.0247001,0.8711713,0.04829016,0.00005564712],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6267389,0.00051247,0.2652136,0.0004077243,0.0001887007,0.00009990588,0.0004137881,0.0004330279,0.1059919],"genre_scores_gemma":[0.9676875,0.0001860113,0.02240056,0.0000870049,0.00002478027,0.00004684381,0.0001897276,0.00004213988,0.00933542],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00849875,"threshold_uncertainty_score":0.02843118,"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."}}