Anti-Ramsey number of expansions of paths and cycles in uniform hypergraphs
文献类型：期刊论文
| 作者 | Tang, Yucong3,4; Li, Tong1 ; Yan, Guiying1,2
|
| 刊名 | JOURNAL OF GRAPH THEORY
 |
| 出版日期 | 2022-06-14 |
| 页码 | 18 |
| ISSN号 | 0364-9024 |
| 关键词 | anti-Ramsey number expansions hypergraphs paths and cycles stability |
| DOI | 10.1002/jgt.22847 |
| 英文摘要 | For an r $r$-graph F $F$, the anti-Ramsey number ar(n , r , F ) $\text{ar}(n,r,F)$ is the minimum number c $c$ of colors such that for any edge-coloring of the complete r $r$-graph on n $n$ vertices with at least c $c$ colors, there is a copy of F $F$ whose edges have distinct colors. Let P k ${P}_{k}$ and C k ${C}_{k}$ be the path and cycle with k $k$ edges in 2-graphs, respectively. In this paper, we determine ar(n , r , P k + ) $\text{ar}(n,r,{P}_{k}<^>{+})$ and ar(n , r , C k + ) $\text{ar}(n,r,{C}_{k}<^>{+})$ for all k >= 3 $k\ge 3$ and r >= 3 $r\ge 3$ except ar(n , r , C 3 + ) $\text{ar}(n,r,{C}_{3}<^>{+})$, which are extensions of several results of Gu, Li, and Shi. |
| 资助项目 | National Natural Science Foundation of China[11901292] ; National Natural Science Foundation of China[11631014] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | WILEY |
| WOS记录号 | WOS:000810356500001 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61514]  |
| 专题 | 博士后 应用数学研究所 |
| 通讯作者 | Yan, Guiying |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun Rd, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 3.MIIT, Key Lab Math Modelling & High Performance Comp Ai, Nanjing, Peoples R China 4.Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, Yucong,Li, Tong,Yan, Guiying. Anti-Ramsey number of expansions of paths and cycles in uniform hypergraphs[J]. JOURNAL OF GRAPH THEORY,2022:18. |
| APA | Tang, Yucong,Li, Tong,&Yan, Guiying.(2022).Anti-Ramsey number of expansions of paths and cycles in uniform hypergraphs.JOURNAL OF GRAPH THEORY,18. |
| MLA | Tang, Yucong,et al."Anti-Ramsey number of expansions of paths and cycles in uniform hypergraphs".JOURNAL OF GRAPH THEORY (2022):18. |
入库方式： OAI收割
来源：数学与系统科学研究院
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