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图与组合系列讲座之三十八(荆一凡)

  发布日期:2018-07-20  浏览量:551


  

  

图与组合系列讲座之三十八

  

报告题目(): The genus of graphs and random graphs

:  荆一凡(加拿大西蒙菲沙大学, 博士)

报告时间: 2018724()下午3:00-4:30

报告地点: 磬苑校区澳门赌搏网站大全H401

摘要:  The genus of a graph G is the minimum integer h, such that G has an embedding on a surface of genus h. In this talk, I will give a brief introduction to graph genus problem in topological graph theory. Some recent results on the genus of random and quasirandom graphs will be discussed. This is joint work with Bojan Mohar.


报告题目(): On the genus of complete 3-uniform hypergraphs

:  荆一凡(加拿大西蒙菲沙大学, 博士)

报告时间: 2018725()下午3:00-4:30

报告地点: 磬苑校区澳门赌搏网站大全H401

摘要:  In 1968, Ringel and Youngs confirmed the last open case of the Heawood Map Coloring Conjecture by determining the genus of every complete graph K_n. We investigate the minimum orientable genus and the non-orientable genus of the complete 3-uniform hypergraph K_n^{(3)}. The genus problems of hypergraphs are tightly related with the genus of 2-complexes, block designs and finite geometry. It is also proved that the number of minimum genus embeddings of K_n^{(3)}, is more than exponential in n. This is joint work with Bojan Mohar.


专家概况:荆一凡, 加拿大西蒙菲沙大学博士, 导师为国际顶级图论专家Bojan Mohar教授(现任权威期刊JCTB主编)2016年毕业于中国科学技术大学,研究方向为拓扑图论,在随机图与超图的亏格方面完成多篇高水平论文。


欢迎各位老师、同学届时前往!

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