{"id":"W1927650282","doi":"10.37236/331","title":"The $t$-Stability Number of a Random Graph","year":2010,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Commonwealth Scholarship Commission; University of Oxford; Natural Sciences and Engineering Research Council of Canada; McGill University","keywords":"Mathematics; Combinatorics; Vertex (graph theory); Graph; Degree (music); Discrete mathematics; Random graph","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004892026,0.0001435219,0.0003401897,0.00003663491,0.0004110471,0.00002579174,0.000945111,0.00009039934,0.00005457542],"category_scores_gemma":[0.001176372,0.00006546229,0.00033121,0.0002852089,0.0003812106,0.00007256064,0.00008450694,0.00145777,8.563391e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004368326,"about_ca_system_score_gemma":0.00021797,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002903022,"about_ca_topic_score_gemma":0.00001397939,"domain_scores_codex":[0.99808,0.000295122,0.0006366445,0.00007720118,0.0004911301,0.000419941],"domain_scores_gemma":[0.9955823,0.00264223,0.0007293687,0.0005805059,0.0004103431,0.00005519037],"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":[0.0002402373,0.00008319696,0.0007731288,0.0000136202,0.0001431693,9.374324e-7,0.0005721159,4.16428e-7,0.0004614667,0.9970081,0.0003654098,0.0003381943],"study_design_scores_gemma":[0.001267193,0.0001223679,0.0002308529,0.000008377052,0.0001041023,0.0002003594,0.0001785442,0.000008221503,0.003446144,0.9917026,0.002655505,0.0000757918],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9933027,0.0007682196,0.00127236,0.0004604686,0.001270983,0.0001560433,9.810152e-7,0.000009811015,0.002758426],"genre_scores_gemma":[0.999306,0.0004012332,0.00004283294,0.00002107007,0.0001064994,0.000002141244,7.794862e-8,0.0000175977,0.0001025538],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006003286,"threshold_uncertainty_score":0.6333367,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01033778330899476,"score_gpt":0.2785706546100197,"score_spread":0.268232871301025,"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."}}