Mathematical Sciences: Universal Cycles and Partially Ordered Sets

该奖项支持格伦·赫尔伯特教授在图论和其他组合学领域的研究。Hurlbert教授将研究普适环和部分有序集，以及组合数论和组合几何中的问题。图论可以追溯到大约200年前，但直到最近半个世纪，这个领域才成为数学中一个活跃、丰富和繁荣的分支。图是由线（“边”）连接点（“顶点”）组成的网络，因此图的语言成为描述分离对象之间相互关系的自然方式。图论是通信理论和计算机科学中最重要的工具。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。所以它对现代通讯非常重要。

This award supports the research of Professor Glen Hurlbert for research in graph theory and other areas of combinatorics. Professor Hurlbert will study universal cycles and partially ordered sets as well as problems in combinatorial number theory and combinatorial geometry. Graph Theory go back perhaps two hundred years, but only in the last half-century has the field become an active, fertile, and flourishing branch of mathematics. A graph is a network of lines ("edges") joining points ("vertices"), thus the language of graphs becomes a natural way of describing interrelationships among separated objects. Graph Theory figures most prominently as an essential tool in Communications Theory and Computer Science. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be organized. And, so it to is extremely important to modern communications.