{"id":"W3088844073","doi":"10.1016/j.ejc.2020.103242","title":"On-line size Ramsey number for monotone k-uniform ordered paths with uniform looseness","year":2020,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Ryerson University","keywords":"Hypergraph; Combinatorics; Ramsey's theorem; Mathematics; Monotone polygon; Upper and lower bounds; Discrete mathematics; Graph; Geometry; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002189993,0.001087548,0.001532276,0.001760967,0.001726612,0.004286224,0.002906203,0.001662169,0.01812399],"category_scores_gemma":[0.01495104,0.0007529132,0.001063187,0.001774929,0.002533377,0.01195926,0.003658277,0.002716773,0.001093171],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002135941,"about_ca_system_score_gemma":0.001379741,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001051209,"about_ca_topic_score_gemma":0.001302401,"domain_scores_codex":[0.998159,0.0004755693,0.00009076723,0.0005322663,0.000315555,0.0004267761],"domain_scores_gemma":[0.984201,0.01024005,0.001185431,0.001569589,0.0008187095,0.00198518],"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":[0.002151909,0.0002942036,0.005428328,0.0005256002,0.0001093423,0.0003221478,0.0007541631,0.04498013,0.01016382,0.8974425,0.008159905,0.02966805],"study_design_scores_gemma":[0.0001095965,0.000143797,0.001344304,0.00005860488,0.00008577102,0.0003133253,0.0002563508,0.1212052,0.003077699,0.871116,0.002225361,0.00006404793],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6874482,0.0007113927,0.2564156,0.003027987,0.0001627574,0.0001636209,0.001804959,0.001316985,0.04894854],"genre_scores_gemma":[0.9646085,0.000335965,0.0277415,0.000272272,0.0001180051,0.0001624621,0.0005412857,0.0002535865,0.005966406],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01812399,"threshold_uncertainty_score":0.06063074,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03885832215286916,"score_gpt":0.2791317990322767,"score_spread":0.2402734768794075,"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."}}