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| 顶点Folkman数的上界 | |
| 引用本文： | 许晓东,罗海鹏,苏文龙,吴康.顶点Folkman数的上界[J].广西科学,2008,15(3):211-215. |
| 作者姓名： | 许晓东 罗海鹏 苏文龙 吴康 |
| 作者单位： | 1. 广西科学院,广西南宁,530007 2. 梧州学院,广西梧州,543002 3. 华南师范大学,广东广州,510631 |
| 基金项目： | 国家自然科学基金，the Basic Research Fund of Guangxi Academy of Sciences |
| 摘 要： | 证明关于顶点Folkman数上界的新不等式.特别地,用构造性方法证明:对于任意满足0 |
| 关 键 词： | 顶点Folkman数 上界 合成图 |
| 收稿时间： | 2008/3/6 0:00:00 |
On the Upper Bounds for Vertex Folkman Numbers |
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| XU Xiao-dong,LUO Hai-peng,SU Wen-long and WU Kang.On the Upper Bounds for Vertex Folkman Numbers[J].Guangxi Sciences,2008,15(3):211-215. | |
| Authors: | XU Xiao-dong LUO Hai-peng SU Wen-long and WU Kang |
| Institution: | Guangxi Academy of Sciences, Nanning, Guangxi, 530007, China,Guangxi Academy of Sciences, Nanning, Guangxi, 530007, China,Wuzhou University, Wuzhou, Guangxi, 543002, China and South China Normal University, Guangzhou, Guangdong, 510631, China |
| Abstract: | Some new inequalities on the upper bounds for vertex Folkman numbers are proven in this paper.In particular,we prove the following result by constructive method:for any real number r that satisfies 0＜r＜1/2log23-3/4,there are N(r)＞0 and c(r)＞0 such that Fv(k,k;k+1)≤c(r)(k-1) 1/4log2 (k-1)-r for any k≥N(r),in which both N(r) and c(r) are constants only depending on r. |
| Keywords: | vertex Folkman number upper bound composition |
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