{"id":"W1601736385","doi":"10.37236/638","title":"Chromatic Roots of a Ring of Four Cliques","year":2011,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Division of Mathematical Sciences; Isaac Newton Institute for Mathematical Sciences","keywords":"Combinatorics; Mathematics; Vertex (graph theory); Chromatic scale; Graph; Chromatic polynomial; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001599176,0.00009486525,0.0002825702,0.0001483475,0.00004848287,0.0000109778,0.001029477,0.00003976643,0.000003367066],"category_scores_gemma":[0.00007822749,0.00006189321,0.0001323831,0.0004582885,0.00006132838,0.0001860026,0.0001010183,0.0003112615,0.000001309053],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004606122,"about_ca_system_score_gemma":0.0002960431,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001827174,"about_ca_topic_score_gemma":0.000001724215,"domain_scores_codex":[0.9985502,0.0001265507,0.0005774854,0.00007837489,0.0003753805,0.0002919809],"domain_scores_gemma":[0.9982765,0.0001205567,0.0008222943,0.0003613218,0.0003701597,0.0000491771],"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":[0.00001350902,0.0001325175,0.0003254154,0.00002602909,0.00006638865,0.000003405582,0.0007374614,0.00002471688,0.003166509,0.9949188,0.00004590968,0.0005393423],"study_design_scores_gemma":[0.0004617106,0.0009657744,0.001023752,0.00009686136,0.00003265807,0.0001182688,0.00002942136,0.001028491,0.03449909,0.9616477,0.0000301886,0.00006600377],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.941215,0.004088082,0.0530859,0.0001851898,0.0003406707,0.00007407364,1.245396e-7,0.00001932075,0.0009916751],"genre_scores_gemma":[0.9989059,0.0002859535,0.0007474629,0.0000213307,0.000004808413,5.947466e-7,2.589277e-8,0.000006753488,0.00002718079],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05769093,"threshold_uncertainty_score":0.2523932,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0224879710711412,"score_gpt":0.2189189907750795,"score_spread":0.1964310197039383,"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."}}