U.S.-Australia/ U.S.-New Zealand Cooperative Programs: Matching Extension and Cyclability in Graphs and Networks

小行星9316088 该奖项将部分支持与迈克尔·普卢默教授的访问有关的旅行费用， 范德比尔特大学数学系，与新西兰达尼丁奥塔哥大学数学与统计系的Derek Allan霍尔顿教授和Robert Aldred博士以及Louis Caccetta教授进行合作 来自澳大利亚珀斯的科廷科技大学。 建议的工作是在图的匹配扩展和循环性领域。这两个概念都可以立即转化为涉及通信网络的问题。 Plummer博士将与Caccetta博士一起进行一个月的匹配扩展联合研究。图中的匹配是一组独立的边，其中没有两条边共享一个公共顶点。这一概念在以下领域的利用率有所提高： 数学应用 然后，申请人将在新西兰与调查人员合作两个月。该小组在循环连通性和图的对称性方面积累了宝贵的专业知识。这 协作活动将澳大利亚和新西兰的工作与美国调查员的工作结合起来。

9316088 Plummer This award will partially support travel costs associated with the visits by Professor Michael Plummer of the Department of Mathematics at Vanderbilt University to conduct collaborative work with Prof. Derek Allan Holton and Dr. Robert Aldred of the Department of Mathematics and Statistics at the University of Otago in Dunedin, New Zealand and with Prof. Louis Caccetta from the Curtin University of Technology in Perth, Australia. The proposed work is in the areas of matching extension and cyclability in graphs. Both concepts admit immediate translation to problems involving communications networks. Dr. Plummer will spend one month with Dr. Caccetta on joint research on matching extension. Matching in a graph is a set of independent edges with no two of these edges sharing a common vertex. The concept is finding increased utilization in mathematical applications. The proposer will then spend two months working with the investigators in New Zealand. This group has developed valuable expertise on cyclic connectivity and symmetry of graphs. This collaborative activity draws together the work in both Australia and New Zealand with that of the American investigator.