{"id":"W1994512037","doi":"10.1016/s0304-3975(01)00263-8","title":"Density via duality","year":2002,"lang":"en","type":"article","venue":"Theoretical Computer Science","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"","keywords":"Homomorphism; Mathematics; Duality (order theory); Partially ordered set; Directed graph; Combinatorics; Discrete mathematics","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":[0.001128531,0.0009564201,0.001851266,0.003854675,0.003328376,0.004897115,0.001658783,0.00205737,0.01906773],"category_scores_gemma":[0.005991719,0.0009281748,0.001455432,0.002697236,0.004486683,0.01004353,0.006515149,0.006556859,0.002598099],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002369723,"about_ca_system_score_gemma":0.0009443869,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001015556,"about_ca_topic_score_gemma":0.0005336509,"domain_scores_codex":[0.9988124,0.0003398594,0.00004286299,0.0002676669,0.000338223,0.0001988625],"domain_scores_gemma":[0.9978629,0.001063479,0.0001437761,0.0002811801,0.0003241275,0.0003244692],"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":[0.000005177973,0.000006131171,0.00002234282,0.00001070055,0.000001959819,0.000005703293,0.00003881244,0.00009617857,0.00005392433,0.9972914,0.001102717,0.001364893],"study_design_scores_gemma":[0.00000345308,0.000002007054,0.00002893863,0.000004475911,0.000002693615,0.00002978168,0.00001606235,0.0008772289,0.00005319244,0.9973908,0.001588668,0.000002825647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.108586,0.003311875,0.3257861,0.01591895,0.001626113,0.0001683968,0.0009307896,0.0007931617,0.5428785],"genre_scores_gemma":[0.8475556,0.00292747,0.03604442,0.003345019,0.00254868,0.0004023646,0.0007216351,0.0007295721,0.1057252],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01906773,"threshold_uncertainty_score":0.06378794,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02477574489211924,"score_gpt":0.2883981029202957,"score_spread":0.2636223580281764,"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."}}