{"id":"W1481913488","doi":"10.1002/jgt.20649","title":"An asymptotically tight bound on the adaptable chromatic number","year":2012,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Advanced Graph Theory Research","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Multigraph; Combinatorics; Mathematics; Chromatic scale; Vertex (graph theory); Integer (computer science); Graph; Upper and lower bounds; Edge coloring; Critical graph; Discrete mathematics; Enhanced Data Rates for GSM Evolution; Computer science; Graph power; Line graph","routes":{"ca_aff":true,"ca_fund":true,"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":[0.006066856,0.0001793287,0.0002567773,0.0002236301,0.0003173294,0.0001972488,0.001962577,0.00006962735,0.0003368927],"category_scores_gemma":[0.0003322219,0.0001030402,0.0002130037,0.0006414715,0.0003106596,0.00162893,0.0001218229,0.0006238411,0.0001781554],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005161659,"about_ca_system_score_gemma":0.00009453635,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.309047e-7,"about_ca_topic_score_gemma":4.569975e-7,"domain_scores_codex":[0.9968669,0.001132465,0.0004277272,0.0001608175,0.000823543,0.000588543],"domain_scores_gemma":[0.9967953,0.001461013,0.0003004478,0.0008613655,0.0002195084,0.0003623732],"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":[0.00008051698,0.000270634,0.0007710693,0.000006303095,0.00006795372,0.00001705487,0.0006481867,0.00005628748,0.001663204,0.9929554,0.0005742453,0.002889115],"study_design_scores_gemma":[0.0003130534,0.0004035867,0.004454444,0.00006558911,0.00001858343,0.0003451305,0.0001826623,0.0004147768,0.002723906,0.989207,0.001695037,0.0001762116],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5349398,0.0007373346,0.4442875,0.001594172,0.00105103,0.0002464191,0.000001466234,0.0000696168,0.01707265],"genre_scores_gemma":[0.9911603,0.00003445469,0.007543828,0.0007158578,0.0002690019,0.000004419948,1.663103e-7,0.0000202654,0.0002516503],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4562205,"threshold_uncertainty_score":0.4201858,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02241069932317575,"score_gpt":0.2992226052457742,"score_spread":0.2768119059225985,"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."}}