{"id":"W222412407","doi":"10.1007/978-3-642-04016-0_21","title":"Finding Fractional Colourings and Large Stable Sets","year":2002,"lang":"en","type":"book-chapter","venue":"Algorithms and combinatorics","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University; University of Toronto; University of New Brunswick","funders":"","keywords":"Remainder; Combinatorics; Mathematics; Computer science; Discrete mathematics; Arithmetic","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":[0.0009229436,0.0006146561,0.0009931428,0.001562762,0.001862518,0.003478712,0.001380358,0.001330304,0.01010787],"category_scores_gemma":[0.004865302,0.0006886517,0.0008533526,0.002220688,0.003272127,0.008201179,0.001930109,0.002376317,0.001158552],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001426249,"about_ca_system_score_gemma":0.0007365327,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005559431,"about_ca_topic_score_gemma":0.0008864407,"domain_scores_codex":[0.9994488,0.0001223484,0.00003210317,0.0001727643,0.0001413803,0.00008256314],"domain_scores_gemma":[0.9974542,0.001783606,0.0001313539,0.0004018161,0.0001425019,0.00008649319],"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":[0.00006025033,0.00002975028,0.0004062918,0.0001312396,0.00001766862,0.00005758592,0.0002537795,0.003404276,0.001871171,0.9402919,0.003666248,0.04980987],"study_design_scores_gemma":[0.000007968792,0.000006389112,0.00008560016,0.00001559946,0.000008771008,0.00005976589,0.0000539877,0.003405527,0.0009808998,0.990612,0.004757429,0.000006041889],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1842391,0.005122003,0.6964709,0.002740616,0.0003559571,0.0001282266,0.0004416564,0.001062714,0.1094389],"genre_scores_gemma":[0.7055957,0.002730542,0.2499242,0.000377292,0.0003374134,0.0001185196,0.0006224992,0.0003340458,0.03995989],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01010787,"threshold_uncertainty_score":0.03381419,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03501997190922011,"score_gpt":0.2587792184445277,"score_spread":0.2237592465353076,"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."}}