{"id":"W2038193038","doi":"10.1016/j.ejc.2011.09.024","title":"A stability theorem on fractional covering of triangles by edges","year":2011,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Combinatorics; Mathematics; Disjoint sets; Graph; 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":[0.0006646411,0.0005742736,0.0008024421,0.001800036,0.001909836,0.002114892,0.001388911,0.001260008,0.009972369],"category_scores_gemma":[0.005605014,0.0004796526,0.001108229,0.001030588,0.001620825,0.003130509,0.002343232,0.001474596,0.0008292217],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001074278,"about_ca_system_score_gemma":0.000362391,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002239889,"about_ca_topic_score_gemma":0.001163119,"domain_scores_codex":[0.9995728,0.0000680671,0.00002073326,0.0001278931,0.0001092099,0.0001012059],"domain_scores_gemma":[0.9968466,0.001926001,0.0002398148,0.0002610611,0.0004190697,0.0003073866],"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":[0.000373439,0.00005652189,0.001964187,0.0001560316,0.00004964993,0.0003192587,0.0007966453,0.01242001,0.01939603,0.9329308,0.005295394,0.02624198],"study_design_scores_gemma":[0.00006454666,0.0001156214,0.001409673,0.00004070301,0.00004741676,0.0004825351,0.0003244194,0.125651,0.006957971,0.8580781,0.006793807,0.00003423539],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5696169,0.0009877601,0.3630454,0.002029747,0.0004374221,0.00007570322,0.0005309136,0.0004823474,0.06279383],"genre_scores_gemma":[0.954439,0.0005543624,0.02424016,0.0003851935,0.000420145,0.0001023856,0.0004579615,0.0002195874,0.0191812],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009972369,"threshold_uncertainty_score":0.0333609,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05720135198896756,"score_gpt":0.2618078043544493,"score_spread":0.2046064523654817,"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."}}