{"id":"W2036786740","doi":"10.1002/jgt.20445","title":"On the minimum degree of minimal Ramsey graphs","year":2009,"lang":"en","type":"article","venue":"Journal of Graph Theory","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Combinatorics; Mathematics; Bipartite graph; Degree (music); Discrete mathematics; Cograph; Graph; Pathwidth; Chordal graph; 1-planar graph; Line 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":[0.002971503,0.0002365866,0.0005061635,0.0004067557,0.000204032,0.00002241591,0.0007838939,0.0001361613,0.0002045043],"category_scores_gemma":[0.001201341,0.0001262802,0.0007087154,0.0003555746,0.0003730131,0.0001038219,0.00004212092,0.0005413996,0.000001631942],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001425803,"about_ca_system_score_gemma":0.00004025627,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.284758e-7,"about_ca_topic_score_gemma":4.584548e-7,"domain_scores_codex":[0.9976686,0.0005036913,0.0008490773,0.0001341789,0.0005719902,0.000272463],"domain_scores_gemma":[0.9952603,0.002897571,0.0009821497,0.000515526,0.0002401629,0.0001042656],"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":[0.0008614885,0.000188423,0.0001044691,0.0000191229,0.0001877767,0.00002538515,0.001216492,0.000002610978,0.001381374,0.9856521,0.005331331,0.005029402],"study_design_scores_gemma":[0.0006143682,0.0009851656,0.002660909,0.0001410494,0.0001345331,0.0001228705,0.0005901766,0.000002551266,0.003169113,0.9912556,0.0001823205,0.0001413831],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9839441,0.0005732601,0.0005398743,0.0005333882,0.0005175851,0.0001487129,0.000007481992,0.00001543604,0.01372012],"genre_scores_gemma":[0.997328,0.00008215741,0.001568852,0.0007367472,0.0001307097,9.600363e-7,2.207872e-7,0.00002066492,0.0001316712],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01358845,"threshold_uncertainty_score":0.5149556,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04026935918545071,"score_gpt":0.2881943755700647,"score_spread":0.247925016384614,"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."}}