Mathematical Sciences: NSF/CBMS Regional Conference in the Mathematical Science - Hamiltonian Graphs; May 26-30, 1992

图中圈的研究一直是一个中心主题 在图论和组合学研究中。 的问题 追溯其根源到1850年的是， 图G包含一个遍历G的所有顶点的圈 就一次 这些周期以威廉汉密尔顿的名字命名， 也被称为哈密尔顿圈 这不仅是一个 结构上有趣的问题，但也是哈密顿循环， 网络中的循环，在以下方面有重要的应用： 调度、分类，甚至设施设计。 该项目将支持NSF-CBMS区域研究 哈密尔顿图数学科学会议 1992年5月26日至30日在路易斯维尔大学举行。 瑞典于默奥大学教授罗兰·哈格奎斯特 将担任首席讲师。 为了激发兴趣， 数学研究活动，国家科学 基金会每年支持一些国家科学基金会-CBMS区域 数学科学研究会议。 每五天 会议设有一个杰出的讲师谁提供十 关于当前重要研究课题的讲座， 数学科学的重点领域。 讲师 随后根据这些内容编写了一本简明的专著。 演讲，通常由美国人出版， 数学学会或工业与应用数学学会 数学，或由美国统计协会联合 和数理统计研究所。 某些特征 将这些会议与典型的研究区分开来 两会 （1）注重一个重要的、 由一位领先的从业者进行及时的研究领域，（2）续 （3）小组讨论 审查质量、广度和及时性，以及（4）出版 为更广泛的观众提供专题论文。

The study of cycles in graphs has long been a central theme in graph theory and combinatorics research. A problem that traces its roots to the 1850's is that of determining when a graph G contains a cycle which traverses all the vertices of G exactly once. Named after William Hamilton, those cycles are better known as Hamiltonian cycles. Not only is this a structurally interesting problem, but also Hamiltonian cycles, and cycles in networks in general, have important applications in scheduling, sorting, and even facility design. This project will support an NSF-CBMS Regional Research Conference in the Mathematical Sciences on Hamiltonian Graphs to be held May 26-30, 1992 at the University of Louisville. Professor Roland Haggkvist of the University of Umea (Sweden) will be the principal lecturer. To stimulate interest and activity in mathematical research, the National Science Foundation each year supports a number of NSF-CBMS Regional Research Conferences in the Mathematical Sciences. Each five-day conference features a distinguished lecturer who delivers ten lectures on a topic of important current research in one sharply focused area of the mathematical sciences. The lecturer subsequently prepares an expository monograph based upon these lectures, which is normally published by the American Mathematical Society or the Society for Industrial and Applied Mathematics, or jointly by the American Statistical Association and the Institute of Mathematical Statistics. Certain features differentiate these conferences from typical research conferences. These are: (1) Focus on a single important and timely area of research by a leading practitioner, (2) Continued effect and local stimulation through regional emphasis, (3) Panel review for quality, breadth, and timeliness, and (4) Published monographs for a wider audience.