{"id":"W3181044363","doi":"10.1016/j.jctb.2022.04.004","title":"Structure in sparse k-critical graphs","year":2022,"lang":"en","type":"article","venue":"Journal of Combinatorial Theory Series B","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Combinatorics; Disjoint sets; Conjecture; Mathematics; Corollary; Graph; Upper and lower bounds; Discrete mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002022015,0.0001932808,0.0004985818,0.0003133568,0.0003866015,0.00003649866,0.0005967252,0.00009017177,0.001391098],"category_scores_gemma":[0.00128794,0.0001593764,0.0002279071,0.0003718325,0.0002544074,0.000299996,0.0002926924,0.001016277,3.166787e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000980683,"about_ca_system_score_gemma":0.00009396155,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.414105e-7,"about_ca_topic_score_gemma":0.000001035693,"domain_scores_codex":[0.9972713,0.0009338264,0.0007307504,0.0001414546,0.0006323616,0.000290322],"domain_scores_gemma":[0.9979122,0.001184238,0.0003500295,0.000294529,0.000151154,0.0001078047],"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":[0.001637386,0.0001385981,0.0003677941,0.00002884933,0.00005651891,0.0001965252,0.00176083,0.00002182795,0.0002906717,0.9941961,0.001001403,0.000303513],"study_design_scores_gemma":[0.00122714,0.0006334698,0.0001731246,0.00002102791,0.00004540346,0.0005861911,0.001606367,0.0000016286,0.0006858292,0.9885129,0.006331277,0.0001755848],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9829614,0.0004077298,0.00005303451,0.0002765531,0.01415232,0.0001291735,0.00002703183,0.00002124692,0.001971554],"genre_scores_gemma":[0.9983692,0.0000182154,0.0009590734,0.0001076344,0.0004140721,0.000003591322,8.691267e-7,0.00003035297,0.00009700681],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01540783,"threshold_uncertainty_score":0.9995218,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0170490246800446,"score_gpt":0.2849124472556697,"score_spread":0.2678634225756251,"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."}}