{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004669171,0.0003624503,0.0002931757,0.001120693,0.001387252,0.001400774,0.0006490781,0.0006939492,0.005627199],"category_scores_gemma":[0.002655277,0.0002209242,0.0002290129,0.001446126,0.001704033,0.002047021,0.0009868621,0.0007791247,0.000562723],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001814609,"about_ca_system_score_gemma":0.0007392464,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001468226,"about_ca_topic_score_gemma":0.002036131,"domain_scores_codex":[0.999535,0.00009662826,0.00002176224,0.0001399252,0.000081597,0.0001250191],"domain_scores_gemma":[0.9971589,0.001350158,0.0004835264,0.0003469754,0.0002587815,0.0004016454],"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":[0.000516115,0.00009894271,0.004324371,0.0001943427,0.00002052626,0.00016058,0.0004789431,0.0174269,0.01407432,0.9073523,0.008432621,0.04691995],"study_design_scores_gemma":[0.0001103266,0.0001745844,0.003516186,0.00006027036,0.00003743706,0.000823442,0.0004389565,0.08987423,0.0123522,0.8613775,0.0311662,0.00006859362],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8137233,0.0008335239,0.1170098,0.001694941,0.0001471614,0.00007999509,0.0008415327,0.0004501542,0.06521951],"genre_scores_gemma":[0.9494273,0.0003948713,0.03967136,0.0002552899,0.00006722796,0.00008219162,0.0006374614,0.00007119417,0.009393034],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005627199,"threshold_uncertainty_score":0.01882482,"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."}}