{"id":"W2557998963","doi":"10.4153/cmb-2015-057-5","title":"Ramsey Number of Wheels Versus Cycles and Trees","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Combinatorics; Ramsey's theorem; Conjecture; Vertex (graph theory); Graph; Disjoint sets; Discrete mathematics","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004819621,0.000170399,0.0003495078,0.00007876586,0.00008605703,0.00002768658,0.0002038618,0.0001388133,0.003826922],"category_scores_gemma":[0.001727254,0.0001380077,0.00007016301,0.00008335977,0.0002909018,0.00002479544,0.00006704784,0.0001359449,0.0003545437],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005243831,"about_ca_system_score_gemma":0.00009747229,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000384053,"about_ca_topic_score_gemma":0.0006965961,"domain_scores_codex":[0.9988731,0.00007682449,0.0003232247,0.0001854058,0.000220543,0.0003209083],"domain_scores_gemma":[0.9981192,0.0007129633,0.00008019441,0.000346106,0.00008440448,0.0006571381],"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":[0.00003908868,0.00002335924,0.0003421617,0.0001019163,0.00004695013,0.00001641354,0.001282547,3.672862e-7,0.000005821995,0.9780551,0.01929572,0.0007905697],"study_design_scores_gemma":[0.0007961193,0.00004592568,0.0001780234,0.00006738965,0.00005202548,0.00004061803,0.0006358633,0.00003330975,0.0001003212,0.9821148,0.01574354,0.0001920857],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8821957,0.0001006715,0.0002185364,0.001227617,0.0001788371,0.0002118266,0.00003200467,0.00004230599,0.1157925],"genre_scores_gemma":[0.9868723,0.000005900572,0.01179323,0.0001410751,0.00006975399,0.000009723238,0.000002039797,0.00003132408,0.001074626],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1147179,"threshold_uncertainty_score":0.9970837,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.056982726147584,"score_gpt":0.3086427620280662,"score_spread":0.2516600358804822,"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."}}