Mathematical Sciences: Embeddings, Latin Squares and Graph Decompositions

数学科学：嵌入、拉丁方和图分解

• 批准号: 9024645
• 负责人: Christopher Rodger
• 金额: $ 5万
• 依托单位: Auburn University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-04-01 至 1994-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9024645&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Embeddings; Latin; Squares

This award supports the research of Professor C. Rodger to work in combinatorics. He will work on the embedding of partial latin squares of order n into latin squares of order less than or equal to 2n. He also intends to work on problems involving embedding triple systems and graph decompositions. The research crosses lines between the areas of combinatorics and statistics. 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, for example the design of large networks as in telephone systems. The main object to be studied in the proposed research, latin squares, is a fundamental tool used in designing experiments and so in improving quality control in many areas of production within the economy.

该奖项支持C教授的研究。罗杰 从事组合学研究 他将致力于嵌入部分 n阶拉丁方转化为小于或的拉丁方 等于2n。 他还打算研究一些问题， 嵌入三元系和图分解。 这项研究跨越了组合学领域之间的界限 和统计数据。 组合数学试图找到有效的方法 来研究如何组织离散的对象集合。 和 所以它对现代通讯是非常重要的， 大型网络的设计，如电话系统。 主要 在拟议的研究中，拉丁广场的研究对象是 这是设计实验的基本工具， 在许多生产领域改进质量控制， 经济