{"id":"W2482026737","doi":"10.1016/j.dam.2017.08.003","title":"The geometric–arithmetic index and the chromatic number of connected graphs","year":2017,"lang":"en","type":"article","venue":"Discrete Applied Mathematics","topic":"Graph Labeling and Dimension Problems","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Group for Research in Decision Analysis; HEC Montréal","funders":"","keywords":"Mathematics; Chromatic scale; Combinatorics; Graph; Upper and lower bounds; Discrete mathematics; Clique number; Critical graph; Arithmetic; Graph power; Line 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":[0.001039437,0.0006401925,0.0007233163,0.003658327,0.00194634,0.003988251,0.002248904,0.00143122,0.007148371],"category_scores_gemma":[0.006696332,0.0005395465,0.0004869289,0.003023257,0.005058954,0.006786492,0.001826319,0.002223936,0.0005502722],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002780126,"about_ca_system_score_gemma":0.0008989842,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00208113,"about_ca_topic_score_gemma":0.002284612,"domain_scores_codex":[0.9993442,0.0002013303,0.00002758855,0.0001721076,0.000137682,0.0001170381],"domain_scores_gemma":[0.9945945,0.00302014,0.001016637,0.0004436614,0.0003326751,0.0005923187],"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":[0.0001983505,0.00004412235,0.002614119,0.00007624706,0.00002284288,0.00003768554,0.0002514998,0.01237554,0.002018493,0.9680633,0.003061369,0.0112365],"study_design_scores_gemma":[0.000023194,0.00001611582,0.001723754,0.00002441224,0.00001672727,0.00007144519,0.000138676,0.02571406,0.000827626,0.9690063,0.002415376,0.00002228759],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8500211,0.001746314,0.06518941,0.004463069,0.0003060275,0.00004001796,0.0007408904,0.0002146888,0.07727855],"genre_scores_gemma":[0.9826341,0.0006799768,0.009686043,0.0002025357,0.0003339297,0.00004514384,0.0003778551,0.00008344104,0.005956925],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007148371,"threshold_uncertainty_score":0.02391374,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0114297673812279,"score_gpt":0.2472710161311256,"score_spread":0.2358412487498977,"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."}}