{"id":"W164845282","doi":"","title":"Circulant Distant Two Labeling and Circular Chromatic Number","year":2003,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Circulant matrix; Chromatic scale; Graph; Function (biology); Discrete mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005461727,0.0001752917,0.0002169937,0.00005848688,0.0002201026,0.0001803004,0.0003048962,0.00005357902,0.00001603783],"category_scores_gemma":[0.0000909942,0.0001623265,0.00005290392,0.0003993862,0.00006190706,0.0002257632,0.0001034261,0.0001400044,0.00009665656],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002910038,"about_ca_system_score_gemma":0.00005369912,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003370009,"about_ca_topic_score_gemma":9.099888e-7,"domain_scores_codex":[0.998516,0.0001210738,0.0002730691,0.0004429928,0.0002977826,0.000349094],"domain_scores_gemma":[0.998965,0.00008432134,0.00008447165,0.0006126324,0.00008141357,0.0001721433],"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":[5.113746e-7,0.00006394142,0.003442407,0.00002417846,0.00002021745,0.00003287394,0.0002561871,0.00001406073,0.003848907,0.9918356,0.000170876,0.0002902557],"study_design_scores_gemma":[0.0009975781,0.00002819257,0.0003058223,0.00005370336,0.00001361122,0.0001066264,0.00002118187,0.003657873,0.002602482,0.9914224,0.0005398963,0.0002506677],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9931132,0.0008820644,0.001592518,0.0001727163,0.001611454,0.0001512667,6.170941e-7,0.0002262692,0.002249926],"genre_scores_gemma":[0.9932252,0.00002745754,0.006467835,0.0002152531,7.80848e-7,0.00001108603,0.000001361514,0.00001459639,0.00003640247],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004875317,"threshold_uncertainty_score":0.6619484,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0105874983956545,"score_gpt":0.2318261279927545,"score_spread":0.2212386295971,"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."}}