{"id":"W2963259603","doi":"10.1002/rsa.20804","title":"Clique coloring of binomial random graphs","year":2018,"lang":"en","type":"article","venue":"Random Structures and Algorithms","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada; Ryerson University","keywords":"Combinatorics; Mathematics; Brooks' theorem; Clique number; Graph coloring; Monochromatic color; Random graph; Clique; Clique graph; Fractional coloring; Discrete mathematics; Split graph; Chromatic scale; Graph; Chordal graph; 1-planar graph; Graph power; Line graph; Physics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002443405,0.0003856514,0.0006403707,0.001801883,0.001223047,0.001547422,0.001206421,0.000794191,0.003479229],"category_scores_gemma":[0.0161666,0.0005678312,0.0004643027,0.0008001095,0.002905947,0.002410418,0.0009706185,0.001199121,0.0003618214],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002240833,"about_ca_system_score_gemma":0.0008933342,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004216637,"about_ca_topic_score_gemma":0.003831005,"domain_scores_codex":[0.9991585,0.0003397047,0.00001375803,0.0001558653,0.0001542114,0.0001778694],"domain_scores_gemma":[0.989219,0.007839326,0.0008065877,0.0007056719,0.0007521909,0.0006770949],"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":[0.0001292479,0.0000434092,0.002776025,0.00008453873,0.00002985039,0.0001656407,0.0002071524,0.05818706,0.002934092,0.9250754,0.004273955,0.006093616],"study_design_scores_gemma":[0.00004701945,0.0000269532,0.001913144,0.00003953925,0.00001392219,0.0001672441,0.00007069356,0.4512822,0.0008181844,0.5437214,0.001868575,0.0000311204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.649437,0.001555168,0.3148231,0.002285586,0.0002516727,0.0001081568,0.0004675515,0.0007856999,0.03028595],"genre_scores_gemma":[0.9764415,0.0005748541,0.01794256,0.0002679344,0.0001704283,0.0001408287,0.0002907272,0.0001454688,0.004025724],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004216637,"threshold_uncertainty_score":0.01625848,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02181948832564345,"score_gpt":0.2919788505881161,"score_spread":0.2701593622624727,"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."}}