{"id":"W112565541","doi":"","title":"Ramsey Numbers r(C5, G) for all Graphs G of Order Six.","year":2000,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Order (exchange); Ramsey's theorem; Discrete mathematics; Graph; Business","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":[0.000747308,0.0004542373,0.000309644,0.00249636,0.001312987,0.001964031,0.0005658102,0.0006796181,0.01128276],"category_scores_gemma":[0.002472345,0.000181559,0.0003172836,0.0008813517,0.001253525,0.002367053,0.001131771,0.001077431,0.001780529],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008027944,"about_ca_system_score_gemma":0.0005882756,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001028573,"about_ca_topic_score_gemma":0.001820721,"domain_scores_codex":[0.9995654,0.00008174724,0.00002684767,0.0001000109,0.0001078833,0.0001181739],"domain_scores_gemma":[0.9982862,0.0006223788,0.0003280107,0.0002570226,0.0002381804,0.0002683183],"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":[0.0002762132,0.00004825122,0.002049817,0.0002214262,0.00002748574,0.0001410008,0.0004568274,0.0008643116,0.003973726,0.951137,0.01526574,0.02553802],"study_design_scores_gemma":[0.00003866265,0.00008211317,0.006060339,0.0001288173,0.00004666431,0.000911745,0.0007894687,0.003803157,0.007247544,0.9115386,0.06929477,0.00005800111],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6128005,0.004410752,0.03197698,0.00246255,0.0003555673,0.0001054543,0.00371458,0.001355406,0.3428182],"genre_scores_gemma":[0.9597292,0.001171123,0.01482986,0.0003138843,0.00009022288,0.0001074026,0.001603444,0.00009900657,0.02205585],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01128276,"threshold_uncertainty_score":0.03774464,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01932416538797419,"score_gpt":0.2875337660461576,"score_spread":0.2682096006581834,"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."}}