{"id":"W3018106679","doi":"10.1002/jgt.22571","title":"Fractional chromatic number of a random subgraph","year":2020,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Javna Agencija za Raziskovalno Dejavnost RS","keywords":"Chromatic scale; Combinatorics; Mathematics; Random graph; Graph; Discrete mathematics; Critical graph; Induced subgraph isomorphism problem; Induced subgraph; Windmill graph; Line graph; Graph power; Vertex (graph theory); Voltage 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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00143022,0.0001806228,0.0006198803,0.0001741132,0.000114416,0.00001543368,0.0003831343,0.0001053864,0.001089946],"category_scores_gemma":[0.001123519,0.0001269356,0.0006759366,0.0003564552,0.0002574564,0.0001882293,0.00005553269,0.0004095187,0.00000497805],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000117257,"about_ca_system_score_gemma":0.00005416702,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.527993e-7,"about_ca_topic_score_gemma":2.225913e-7,"domain_scores_codex":[0.9978907,0.0003833554,0.0009055882,0.0001157891,0.0005260293,0.0001785631],"domain_scores_gemma":[0.9967284,0.001619269,0.001027153,0.0002021659,0.0002562906,0.0001667207],"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":[0.001828799,0.0001394204,0.0028318,0.0002399171,0.0006762703,0.00004074261,0.003247092,0.00001309101,0.001302687,0.9859446,0.002881571,0.0008539764],"study_design_scores_gemma":[0.002121943,0.0001489116,0.0008351821,0.00009980442,0.0002143223,0.0002827841,0.0005118556,0.000017882,0.001324052,0.9937745,0.0005356164,0.0001331835],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9742689,0.0005610522,0.01806566,0.0003809655,0.0005597037,0.0001481035,0.00001321725,0.00002643433,0.005975958],"genre_scores_gemma":[0.9930987,0.00008872006,0.006057133,0.000382333,0.0003102707,0.00000155136,5.274366e-7,0.00002757267,0.00003322291],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01882976,"threshold_uncertainty_score":0.9998232,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02695581525799003,"score_gpt":0.3007404859135626,"score_spread":0.2737846706555726,"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."}}