Mathematical Sciences: Research in Enumerative Combinatorics

数学科学：枚举组合学研究

• 批准号: 8703600
• 负责人: Ira Gessel
• 金额: $ 4.39万
• 依托单位: Brandeis University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-06-15 至 1989-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8703600&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Research; Enumerative; Combinatorics

This research is in the area of combinatorics. Specifically problems in enumerative combinatorics, including symmetric functions and their generalizations, the theory of P- recursiveness, lattice path enumeration, permutation enumeration, and hypergeometric series will be studied. This research covers a broad front in combinatorics, the mathematics associated with combinations of finite sets. Much attention will be spent in various "counting problems", one of the most important and difficult areas of combinatorics. Moreover the potential applications to other areas such as computer science are very important. Thus this research holds much promise for excellent contributions.

这项研究属于组合学领域。 具体 枚举组合学中的问题，包括对称 函数及其推广，P- 递归，格路径枚举，置换枚举， 和超几何级数。 这项研究涵盖了组合学的广泛前沿， 与有限集合的组合有关的数学。 多 注意力将花在各种“计数问题”上，其中一个 组合数学中最重要和最困难的领域。 此外，潜在的应用到其他领域，如 计算机科学非常重要。 因此，这项研究认为， 对优秀贡献的承诺。