{"id":"W2133449501","doi":"10.1016/j.laa.2013.03.024","title":"Extremal digraphs with given clique number","year":2013,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Graph theory and applications","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Clique; Combinatorics; Adjacency matrix; Clique number; Adjacency list; Discrete mathematics; Digraph; Graph","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":[],"consensus_categories":[],"category_scores_codex":[0.0000851429,0.0001518778,0.0001545897,0.00004236163,0.0002595007,0.00004422973,0.0001585729,0.00007698285,0.0005801044],"category_scores_gemma":[0.00001881279,0.0001183282,0.00004663315,0.000303387,0.00008714161,0.0001540198,0.00003932068,0.0001420169,0.0004505482],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005100474,"about_ca_system_score_gemma":0.00001531576,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008211985,"about_ca_topic_score_gemma":0.000007792229,"domain_scores_codex":[0.9991884,0.00002698638,0.0002095516,0.0002753628,0.0001028605,0.0001968767],"domain_scores_gemma":[0.9990753,0.0002195601,0.00008527503,0.0003677328,0.0001180741,0.0001340662],"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":[0.000003516212,0.0001271996,0.001027178,0.00002928752,0.00002762166,1.932074e-7,0.0001372316,4.770762e-7,0.0009175523,0.9948401,0.00178117,0.00110846],"study_design_scores_gemma":[0.0003199448,0.0000328081,0.003498323,0.00001979639,0.00006406448,0.0000296796,0.0002128246,0.0003091144,0.001517897,0.9474753,0.04624313,0.0002771624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9369225,0.0001204063,0.02673077,0.00385779,0.00001526032,0.002421894,0.00004470853,0.0003625951,0.0295241],"genre_scores_gemma":[0.9832645,0.00005238904,0.01227671,0.0002092815,0.0000986974,0.002114204,0.00002463938,0.00003208594,0.001927465],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04736486,"threshold_uncertainty_score":0.6351737,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01912068928223433,"score_gpt":0.2768362397758477,"score_spread":0.2577155504936134,"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."}}