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学术前沿讲座——Total Italian domination in digraphs

发布时间:2023-12-25访问量:10


报告题目

Total Italian domination in digraphs

报告人(单位)

郭余宝,德国亚琛工业大学

点评人(单位)

孙胜楠,东南大学

点评人(单位)

王海燕,东南大学

时间地点

时间:2023.12.28,14:30,地点:A402

报告摘要和内容:

Let  be a finite and simple digraph with vertex set . An Italian dominating function (IDF) on  is a function  such that every vertex  with  has an in-neighbor  with  or two in-neighbors  and  with . A total Italian dominating function (TIDF) on  is an IDF  such that the subdigraph  has no isolated vertices. The weight  of a TIDF  on  is . The total Italian domination number of  is . A connected digraph  with an IDF can be used as a model in management science, and  is its optimal solution.

In this talk, we will give an overview of the total Italian domination number of digraphs, find different bounds on, and determine the total Italian domination number of some classes of digraphs. In addition, we will also investigate the relationship between several different domination numbers, e.g., design an algorithm for finding a total Roman dominating function by an Italian dominating function on a connected digraph.


报告人简介:

郭余宝教授,199119951999年先后获得德国亚琛工业大学理学硕士、博士和授课资格,2006年被亚琛工业大学聘为信息处理数学研究所终身教授,系该校的首位华人教授。

郭余宝教授曾任亚琛工业大学数学研究所C所代理所长(W3),亚琛工业大学驻中国(北京)办事处主任,兼任德国“德中汤若望协会”副主席等职,曾入选山西省被人计划。2019101日,受邀参加70周年国庆观礼,20224月任“江苏省侨联助梦大使”。



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