{"id":"W4408892541","doi":"10.61091/jcmcc125-11","title":"On edge-disjoint Ramsey numbers of stars","year":2025,"lang":"en","type":"article","venue":"Journal of Combinatorial Mathematics and Combinatorial Computing","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Disjoint sets; Stars; Ramsey's theorem; Combinatorics; Enhanced Data Rates for GSM Evolution; Ramsey theory; Mathematics; Computer science; Astronomy; Physics; Artificial intelligence; Graph","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002703541,0.0004057732,0.00122819,0.0004859875,0.0002461288,0.000301354,0.001552422,0.0002126067,0.000005599265],"category_scores_gemma":[0.001159696,0.0003622353,0.0003598263,0.000937457,0.0001752153,0.0003165807,0.0009062491,0.0007035815,0.000002616851],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001956872,"about_ca_system_score_gemma":0.0004168515,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001605268,"about_ca_topic_score_gemma":4.20697e-7,"domain_scores_codex":[0.9959885,0.0002401912,0.001872888,0.0004160454,0.001027429,0.0004549744],"domain_scores_gemma":[0.9943402,0.002193458,0.001517571,0.0007206747,0.0010072,0.000220892],"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":[0.00007135844,0.00105485,0.0001470831,0.0002470376,0.000141317,0.00002095281,0.000881008,0.0002474588,0.0002719457,0.9893238,0.0006180042,0.006975205],"study_design_scores_gemma":[0.004096651,0.001257454,0.0002855728,0.0006543109,0.00006686047,0.0000458219,0.0001554057,0.03082084,0.001881469,0.9599767,0.0004320612,0.000326795],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6386193,0.000378665,0.3133334,0.0006733054,0.04153723,0.0005789326,0.000002631949,0.0001174037,0.004759125],"genre_scores_gemma":[0.9667875,0.00001868676,0.03264254,0.00006673532,0.0004494369,0.000001636696,4.410667e-7,0.00002076484,0.00001222476],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3281682,"threshold_uncertainty_score":0.9998829,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01205835339653154,"score_gpt":0.2595600922533888,"score_spread":0.2475017388568573,"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."}}