Mathematical Sciences: Graph Minors and Well-Quasi-Ordering

托马斯教授将研究与瓦格纳的 Hadwiger猜想和Hadwiger猜想 他还将调查 是否存在有向图子式理论以及 研究准有序集理论 图论的历史可以追溯到200年前，但仅仅是2000年。 在过去的半个世纪里，这一领域已经成为一个活跃的，肥沃的， 数学的一个蓬勃发展的分支。 图是由线组成的网络 （“边”）连接点（“顶点”），因此图形的语言 成为一种自然的方式来描述 分离的物体。 图论最突出的表现是， 通信理论和计算机科学的重要工具。

Professor Thomas will work on problems related to Wagner's conjecture and Hadwiger's conjecture. He will also investigate whether there is a theory of directed graph minors as well as working in the theory of quasi-ordered sets. Graph Theory goes 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.