Mathematical Sciences: Research in Enumerative and AlgebraicCombinatorics

数学科学：枚举和代数组合学研究

• 批准号: 9102760
• 负责人: Michelle Wachs
• 金额: $ 4万
• 依托单位: University of Miami
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-15 至 1993-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9102760&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Research; Enumerative; AlgebraicCombinatorics

This award supports the research of Professor M. Wachs to work in combinatorics. She intends to study problems in enumerative and algebraic combinatorics. She will focus on the study of generating functions for certain statistics on combinatorial configurations which include permutations, words and labeled partially ordered sets. The research is in the general area of combinatorics. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be organized. It is extremely important to modern communications, for example the design of large networks as in telephone systems. It is also fundamental for the design of new algorithms in computer science.

该奖项支持M. Wachs教授在组合学方面的研究。她打算研究数列和代数组合学方面的问题。她将专注于研究组合配置的某些统计生成函数，包括排列，单词和标记部分有序集。这项研究是在组合学的一般领域。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。它对现代通信极其重要，例如电话系统中大型网络的设计。它也是计算机科学中新算法设计的基础。