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李学良教授学术报告通知(11)
发布时间:2017-06-17 发布者: 浏览次数:

报告题目Constructions of graphs and trees with partially prescribed spectrum

人:李学良   教授、博士生导师

南开大学组合数学中心副主任

青海师范大学 数学与统计学院院长

 间: 6 18 (周日)14:00-15:30

 点: A102教室

Abstract: It is shown how a connected graph and a tree with partially prescribed spectrum can be constructed. These constructions are based on a recent result of Salez that every totally real algebraic integer is an eigenvalue of a tree. Our result implies that for any (not necessarily connected) graph, there is a tree such that the characteristic polynomial of the graph divides the characteristic polynomial of the tree. Some open problems will also be presented in this talk.

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