{"id":"W4408499286","doi":"10.61091/jcmcc124-15","title":"On the Ramsey numbers \\(r(S_n, K_6-3K_2)\\)","year":2025,"lang":"en","type":"article","venue":"Journal of Combinatorial Mathematics and Combinatorial Computing","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Ramsey's theorem; Ramsey theory; Mathematics; Combinatorics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002912389,0.0009165866,0.0008163595,0.002129157,0.001734367,0.002857424,0.001027359,0.0009060818,0.009470394],"category_scores_gemma":[0.007854547,0.0006015472,0.0007747296,0.001141122,0.003694455,0.004939098,0.003013066,0.002575221,0.001709825],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002557095,"about_ca_system_score_gemma":0.001044358,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002586808,"about_ca_topic_score_gemma":0.003474603,"domain_scores_codex":[0.9986631,0.0004169107,0.00005917017,0.0003587323,0.0002149924,0.000287156],"domain_scores_gemma":[0.9944178,0.003682765,0.000483868,0.000421119,0.0004381726,0.0005562557],"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":[0.000525853,0.0000782402,0.001806987,0.0001865795,0.00004522688,0.00008985865,0.0003436055,0.01401644,0.003171729,0.9480835,0.01024052,0.02141145],"study_design_scores_gemma":[0.00008701703,0.0001123026,0.002769506,0.0001346561,0.0000467001,0.0002481496,0.0001814059,0.0528421,0.002863943,0.9286647,0.01197204,0.00007735108],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6502715,0.005062349,0.07745893,0.007490366,0.0005976036,0.0001039115,0.001545496,0.0005436189,0.2569262],"genre_scores_gemma":[0.9498689,0.002035099,0.02599243,0.0007402487,0.0004783899,0.0001831984,0.0008423597,0.0002339057,0.01962532],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009470394,"threshold_uncertainty_score":0.03168166,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01738577458874396,"score_gpt":0.2992491871531379,"score_spread":0.281863412564394,"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."}}