{"id":"W6929288580","doi":"10.48550/arxiv.2402.17857","title":"Clique Decompositions in Random Graphs via Refined Absorption","year":2024,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Random graph; Random regular graph; Graph; Clique; Binomial (polynomial); Clique number","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001418904,0.000941128,0.001005319,0.00178708,0.001513591,0.002178941,0.001858931,0.00145464,0.007856209],"category_scores_gemma":[0.01049532,0.00115077,0.001889302,0.001299974,0.002412051,0.004154797,0.002946249,0.00321288,0.001240635],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00218773,"about_ca_system_score_gemma":0.001016679,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003723663,"about_ca_topic_score_gemma":0.004293034,"domain_scores_codex":[0.9984596,0.0004601159,0.00004322177,0.0003684721,0.0003264837,0.0003421497],"domain_scores_gemma":[0.9938602,0.003144396,0.0008159096,0.001088344,0.000409095,0.0006819648],"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":[0.0005332553,0.0002829255,0.003431441,0.0002059322,0.0001189478,0.0004405247,0.001102433,0.116646,0.01510234,0.8307017,0.00885421,0.02258012],"study_design_scores_gemma":[0.0001294683,0.00009795163,0.001331779,0.00004598481,0.00004940673,0.0003044387,0.0001902908,0.5775726,0.003490827,0.4130162,0.0037266,0.00004439247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3685439,0.0005830376,0.5961907,0.001692493,0.00009260754,0.0002771131,0.0006433445,0.001225286,0.03075151],"genre_scores_gemma":[0.8907948,0.0003996771,0.09468178,0.0005913989,0.0001080982,0.0003871362,0.0008610841,0.0003970398,0.01177905],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007856209,"threshold_uncertainty_score":0.02628165,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06401983762865214,"score_gpt":0.229151740968121,"score_spread":0.1651319033394689,"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."}}