Mathematical Sciences: Research in Enumerative and AlgebraicCombinatorics

数学科学：枚举和代数组合学研究

• 批准号: 8802938
• 负责人: Michelle Wachs
• 金额: $ 5.03万
• 依托单位: University of Miami
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-06-15 至 1991-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8802938&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Research; Enumerative; AlgebraicCombinatorics

This research is in enumerative and algebraic combinatorics, and focuses on combinatorial properties of partially ordered sets, particularly on properties of Bruhat order and weak order on Coxeter groups. For the symmetric group, several questions dealing with permutation statistics, weak order, and linear extensions of posets will be explored. Combinatorial mathematics is the study of various problems concerning finite sets. Such problems arise throughout mathematics, and have important applications to such fields as computer science, design of experments, and coding theory.

这项研究是在枚举和代数组合， 并侧重于偏序的组合性质 集，特别是Bruhat序和弱序的性质 关于Coxeter集团 对于对称群，几个问题 处理置换统计、弱序和线性 将探讨偏序集的扩展。 组合数学是对各种问题的研究 关于有限集合 这样的问题出现在各地 数学，并有重要的应用等领域， 计算机科学、实验设计和编码理论。