Mathematical Sciences: Latin Squares, Block Designs, and Related Combinatorial Structures

数学科学：拉丁方、分块设计和相关组合结构

• 批准号: 8703642
• 负责人: Charles Lindner
• 金额: $ 1.12万
• 依托单位: Auburn University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-11-01 至 1990-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8703642&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Latin; Squares; Block

The objective of this project is basic research in combinatorial mathematics covering such topics as latin squares, quasigroups, block designs, graph decomposition problems and related combinatorial structures. Heavy emphasis will be placed on the conjugate invariant subgroup problem for both orthogonal and perpendicular arrays, Mendelsohn and Steiner pentagon systems, and various types of graph decomposition problems. Combinatorial mathematics is the study of various problems concerning finite sets. These problems have become very important because of their great applicability to computer research and in the design of statistical experiments.

该项目的目标是进行以下方面的基础研究： 组合数学涵盖了拉丁方， 拟群，区组设计，图分解问题和 相关的组合结构。 将重点放在 共轭不变子群问题 和垂直阵列，门德尔松和施泰纳五边形 系统和各种类型的图分解问题。 组合数学是对各种问题的研究 关于有限集合 这些问题已经变得非常 因为它们对计算机非常适用 研究和统计实验的设计。