{"id":"W2058108962","doi":"10.1007/s004930170003","title":"Integer and Fractional Packings in Dense Graphs","year":2001,"lang":"en","type":"article","venue":"COMBINATORICA","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":92,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Combinatorics; Mathematics; Graph; Disjoint sets; Integer (computer science); Pairwise comparison; Discrete mathematics; Statistics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.00109842,0.000630732,0.001172531,0.0034309,0.003034553,0.005260074,0.001362391,0.001709506,0.005910738],"category_scores_gemma":[0.008467753,0.001064704,0.0006654641,0.003529652,0.005164072,0.008898443,0.002494329,0.002757056,0.0004243746],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001834194,"about_ca_system_score_gemma":0.0005178489,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002004687,"about_ca_topic_score_gemma":0.002361048,"domain_scores_codex":[0.9991797,0.0002325986,0.00005056747,0.0001490808,0.0002170217,0.0001709581],"domain_scores_gemma":[0.9955428,0.002796496,0.0006590048,0.0003539402,0.0002222605,0.0004254335],"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":[0.00003165579,0.00002277418,0.0002159018,0.00002973587,0.000003243494,0.00005066073,0.0002960262,0.001629708,0.0002717191,0.9931243,0.0007589281,0.003565432],"study_design_scores_gemma":[0.000008364729,0.000004874006,0.0001359752,0.00001349064,0.000004276802,0.0000745447,0.0001233698,0.00456557,0.0001694315,0.9937841,0.001110928,0.000005184766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.750827,0.003379058,0.1306539,0.003293737,0.0003060176,0.00004273907,0.0003794359,0.0003388649,0.1107792],"genre_scores_gemma":[0.9633228,0.001361785,0.02134778,0.0003600207,0.0003584739,0.00006751223,0.0002994962,0.00008327502,0.0127988],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005910738,"threshold_uncertainty_score":0.01977336,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02475962650583865,"score_gpt":0.2869424592811526,"score_spread":0.262182832775314,"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."}}