Mathematical Sciences: Problems in Ramsey Theory

数学科学：拉姆齐理论中的问题

• 批准号: 9011850
• 负责人: Vojtech Rodl
• 金额: $ 8.16万
• 依托单位: Emory University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-12-15 至 1994-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9011850&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Problems; Ramsey; Theory

This award supports the research of Professor V. Rodl to work in the theory of hereditary classes and Euclidean Ramsey theory. Rodl will work on structural Ramsey type theorems on set systems, vector spaces and their combinatorial analogues such as parameter words and lattices. He will also work on the quantitative aspects by attempting to evaluate the size and numbers of the corresponding objects The research falls into the general area of combinatorics. This is at the same time one of the oldest yet one of the most active areas of mathematics. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be organized. And, so it is extremely important to modern communications.

该奖项支持V. Rodl教授在世袭阶级理论和欧几里德拉姆齐理论方面的研究工作。 Rodl 将研究集合系统、向量空间及其组合类似物（例如参数词和格）的结构拉姆齐型定理。他还将通过尝试评估相应对象的大小和数量来研究定量方面。该研究属于组合学的一般领域。 这同时也是数学最古老但最活跃的领域之一。 组合学试图找到有效的方法来研究如何组织离散的对象集合。 因此，它对于现代通信极其重要。