讲座主题：Ribbon graphs, partial dual and Eulerian partial duals

专家姓名：金贤安

工作单位：厦门大学

讲座时间：2017年7月6日10:00

讲座地点：数学院大会议室

主办单位：烟台大学数学与信息科学学院

内容摘要：

In this talk, I shall first give several (equivalent) definitions of ribbon graphs and their partial duals, a generalization of geometrical dual of cellularly embedded graphs from the set of edge of the graph to all subsets of the set of edges of the graph. We then talk about a little background or history as far as I know. A ribbon graph with m edges has 2^m (not necessarily distinct) partial duals. Huggett and Moffatt characterized bipartite partial duals of a plane graph (i.e. among all partial duals, which are bipartite?). They posed an open problem for characterizing Eulerian partial duals of a plane graph. We solve it and further generalize it from plane graphs to any (orientatble) ribbon graphs. This is a joint work with Metrose Metsidik and Qingying Deng.

主讲人介绍：

厦门大学数学科学学院教授，博士生导师，数学与应用数学系主任。主要从事图论、组合纽结论及其在统计物理、化学和生命科学中的应用的研究工作。在Proceedings of the American Mathematical Society、Advances in Applied Mathematics、Journal of Knot Theory and its Ramifications、The Electronic Journal of Combinatorics、Discrete Applied Mathematics等杂志发表论文40余篇。曾应邀赴新加坡，美国，意大利，泰国，台湾、印度尼西亚、澳大利亚等国家或地区访问或参加学术会议。现主持国家自然科学基金面上项目1项，曾主持完成国家自然科学基金重点项目子课题、面上项目以及青年基金项目各1项。