{"id":"W2082281988","doi":"10.1016/j.disc.2007.11.065","title":"The chromatic number of 5-valent circulants","year":2008,"lang":"en","type":"article","venue":"Discrete Mathematics","topic":"Graph theory and applications","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Circulant matrix; Mathematics; Combinatorics; Chromatic scale; Degree (music); Vertex (graph theory); Discrete mathematics; Graph","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":[0.0007827731,0.0007959931,0.0006145355,0.004249231,0.002931413,0.004157124,0.001555001,0.001625094,0.01057158],"category_scores_gemma":[0.00394756,0.0005524802,0.0004638528,0.002720615,0.003617099,0.002398786,0.001246052,0.001626868,0.001003521],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002379484,"about_ca_system_score_gemma":0.001132387,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004084474,"about_ca_topic_score_gemma":0.005567979,"domain_scores_codex":[0.9993438,0.0001336415,0.00002485637,0.0001462776,0.0001636182,0.000187781],"domain_scores_gemma":[0.9962592,0.00174418,0.0006473177,0.0002723367,0.0003819991,0.0006950821],"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":[0.0003764047,0.00006521916,0.002340506,0.0001050916,0.00003005452,0.0002062915,0.0006084932,0.008933267,0.00962846,0.9592423,0.005407864,0.013056],"study_design_scores_gemma":[0.0001052433,0.00009764482,0.005142192,0.00008177934,0.0000650043,0.0004122142,0.0004024856,0.03898062,0.006169572,0.9387261,0.009708848,0.0001081756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9122396,0.0005499454,0.01681417,0.001384112,0.0002871383,0.00004832758,0.000639,0.0002246602,0.06781303],"genre_scores_gemma":[0.9837741,0.0003444328,0.005257107,0.0002104247,0.0001847201,0.00005006439,0.0003828971,0.00009216027,0.009704182],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01057158,"threshold_uncertainty_score":0.0353654,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05000582968033673,"score_gpt":0.3275820930475847,"score_spread":0.2775762633672479,"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."}}