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RAMSEY NUMBER OF HYPERGRAPH PATHS

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RAMSEY NUMBER OF HYPERGRAPH PATHS

Erxiong Liu[1]

【期刊名称】《《应用数学年刊:英文版》》 【年(卷),期】2018(034)004

【摘要】Let H =(V, E) be a К-uniform hypergraph. For 1≤s≤К-1, an s-pathPn^(К,s). of length n in H is a sequence of distinct vertices v1,v2,…,vs+n(К-s)such that{υ1+i(К-s),…,vs+(i+1)(К-s)}is an edge of H for each 0≤i≤n-1.In this paper, we prove that R(Pn^(3s,s),P3^(3s,s))=(2n + l)s+1 for n≥3.

【总页数】12页(P.383-394)

【关键词】hypergraph Ramsey number; path 【作者】Erxiong Liu[1]

【作者单位】[1]College of Math and Computer Science Fuzhou University Fuzhou 350116 Fujian P R China 【正文语种】中文 【中图分类】O175 【相关文献】

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RAMSEY NUMBER OF HYPERGRAPH PATHS

RAMSEYNUMBEROFHYPERGRAPHPATHSErxiongLiu[1]【期刊名称】《《应用数学年刊:英文版》》【年(卷),期】2018(034)004【摘要】LetH=(V,E)beaК-uniformhypergraph.For1≤s≤К-1,ans-pathPn^(К,s).o
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