{"id":"W4384575228","doi":"10.23952/asvao.5.2023.2.08","title":"Stable-set and coloring bounds based on 0-1 quadratic optimization","year":2023,"lang":"en","type":"article","venue":"Applied Set-Valued Analysis and Optimization","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Austrian Science Fund","keywords":"Combinatorics; Chromatic scale; Mathematics; Quadratic equation; Graph coloring; Semidefinite programming; Graph; Fractional coloring; Independent set; Optimization problem; Set (abstract data type); Stability (learning theory); Discrete mathematics; Computer science; Mathematical optimization; Graph power; Line graph","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003530044,0.002170602,0.001108661,0.001268917,0.000729584,0.001652176,0.002255325,0.001084867,0.008095648],"category_scores_gemma":[0.01178727,0.0004905487,0.001140044,0.001553775,0.002557155,0.002838099,0.002487777,0.004219904,0.001261758],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001997517,"about_ca_system_score_gemma":0.001330214,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001611864,"about_ca_topic_score_gemma":0.001905187,"domain_scores_codex":[0.9980844,0.0008823545,0.00004696755,0.0002895024,0.0004872192,0.0002095146],"domain_scores_gemma":[0.993709,0.004202016,0.0004395887,0.0005959524,0.0006953038,0.0003581166],"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":[0.0001374231,0.0001229123,0.0002957301,0.0002378585,0.00005127329,0.00007055782,0.0001315523,0.4201334,0.002711487,0.5459415,0.005716721,0.02444956],"study_design_scores_gemma":[0.0000123476,0.00006048824,0.0001091589,0.00003126334,0.00001028958,0.00002369465,0.00002014475,0.7683896,0.0007627101,0.2288657,0.001699339,0.00001547707],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01508397,0.0006640107,0.9631407,0.0005345524,0.000172727,0.00005112119,0.0001551574,0.0001734477,0.02002431],"genre_scores_gemma":[0.6893663,0.001852994,0.2874136,0.00100622,0.0005314088,0.0003679631,0.0007993437,0.0007153517,0.01794683],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008095648,"threshold_uncertainty_score":0.02708268,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04479834601375983,"score_gpt":0.3336006379571591,"score_spread":0.2888022919433993,"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."}}