{"id":"W2030362910","doi":"10.1017/s0963548309990216","title":"The <i>t</i>-Improper Chromatic Number of Random Graphs","year":2009,"lang":"en","type":"article","venue":"Combinatorics Probability Computing","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Chromatic scale; Combinatorics; Mathematics; Random graph; Graph; Constant (computer programming); Discrete mathematics; Degree (music); Computer science; Physics","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":[0.002741496,0.0006605702,0.0006274491,0.001961929,0.001116186,0.002922244,0.001434045,0.001019911,0.002289476],"category_scores_gemma":[0.01604883,0.0005231131,0.0005749245,0.001528337,0.005574062,0.006539842,0.001748198,0.002109925,0.0003653372],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002739096,"about_ca_system_score_gemma":0.0009329334,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001866142,"about_ca_topic_score_gemma":0.001069718,"domain_scores_codex":[0.998931,0.0002534781,0.00005315268,0.0002751702,0.0002451813,0.0002421061],"domain_scores_gemma":[0.991987,0.003779642,0.001255449,0.001258636,0.0007376022,0.0009816624],"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":[0.0001092731,0.00002345254,0.002116063,0.00005875497,0.00001485969,0.000094463,0.0002168613,0.02999544,0.003016507,0.9573233,0.001315049,0.005715789],"study_design_scores_gemma":[0.00001897684,0.00003723126,0.001642561,0.0000356735,0.00001621217,0.0001601194,0.00008599072,0.1604214,0.001946062,0.8328477,0.002741417,0.00004666801],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6232248,0.002111363,0.3379161,0.003170243,0.0002270848,0.00009139648,0.0005127101,0.0004440781,0.03230223],"genre_scores_gemma":[0.9607217,0.001495941,0.030304,0.0003018684,0.0002658062,0.000164755,0.0002872219,0.0001826592,0.006276131],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002922244,"threshold_uncertainty_score":0.01987368,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02305560789031328,"score_gpt":0.2937450395494833,"score_spread":0.27068943165917,"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."}}