题目:From Friendship Graph to Mixed Extension
主讲人:山东理工大学王建锋教授
时间:2021年12月26日(周日)10:45~11:30
腾讯会议:871 251 058(会议密码:654321)
摘要:
In 2010, it was conjectured that the friendship graphs are determined by the adjacency spectra. In 2013, Das claimed that he proved the conjecture. However, his proof was found to be incorrect since the interlace theorem was misused. Determining the graphs with all but two eigenvalues equal to ±1, Cioaba et al. completely solved this conjecture in 2015. Inspired by the methods used in their paper, Cioaba et al. further investigated the related problems, and Haemers posed a new method named as the mixed extension of graphs. In this report, the old and new results involving the above topics will be summarized and introduced.
个人简介:王建锋,山东理工大学数学与统计学院教授、副院长,新疆大学博士、南开大学博士后,发表论文60余篇,现主持一项国家自然科学基金面上项目,主持完成国家自然科学基金2项,中国博士后科学基金和省级自然科学基金4项、参与完成3项国家自然科学基金。发表的部分结果被英国剑桥大学出版社和国际学术出版社爱思唯尔(Elsevier)的专著收录。提出的问题得到荷兰、美国和韩国等知名图论专家的关注和彻底解决;多次应邀参加国内外学术会议,并应邀参加塞尔维亚第14届数学大会作邀请报告等。现任教育部学位中心通讯评议专家、中国博士后和北京等省市自然科学基金通讯评审专家,CSIAM信息和通讯领域的数学专委会委员。目前主要侧重于研究图谱理论、图多项式理论、图距离参数等方向。曾任中国科协九大代表、青海省“昆仑英才”计划科技创新领军人才、青海青年五四奖章等。
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