数学系Seminar第1288期 On the adjacency matrix of a block graph

创建时间:  2016/05/11  龚惠英   浏览次数:   返回

报告主题:On the adjacency matrix of a block graph
报告人: Ravindra B. Bapat 教授(Indian Statistical Institute)
报告时间:2016年5月11日(周三)10:00
报告地点:校本部G507
邀请人:林明华
主办部门:金沙威尼斯欢乐娱人城数学系
报告摘要:A block graph is a graph in which every block is a clique. Let G be a block graph and let A be the adjacency matrix of G. We obtain a formula for the determinant of A over reals. It is shown that A is nonsingular over GF(2) if and only if the removal of any vertex from G produces a graph with exactly one odd component. A formula for the inverse of A is obtained, whenever it exists. We obtain some results for the line graph of a tree, which is a block graph in which every cut-vertex is incident to at most two blocks. A flower, which is a block graph with only one cut-vertex, is also considered. This talk is based on joint work with Souvik Roy
and Ebrahim Ghorbani.

欢迎教师、学生参加 !

上一条:数学系Seminar第1289期 图像配准和统计形状分析的流形上的贝叶斯模型

下一条:数学系Seminar第1289期 图像配准和统计形状分析的流形上的贝叶斯模型


数学系Seminar第1288期 On the adjacency matrix of a block graph

创建时间:  2016/05/11  龚惠英   浏览次数:   返回

报告主题:On the adjacency matrix of a block graph
报告人: Ravindra B. Bapat 教授(Indian Statistical Institute)
报告时间:2016年5月11日(周三)10:00
报告地点:校本部G507
邀请人:林明华
主办部门:金沙威尼斯欢乐娱人城数学系
报告摘要:A block graph is a graph in which every block is a clique. Let G be a block graph and let A be the adjacency matrix of G. We obtain a formula for the determinant of A over reals. It is shown that A is nonsingular over GF(2) if and only if the removal of any vertex from G produces a graph with exactly one odd component. A formula for the inverse of A is obtained, whenever it exists. We obtain some results for the line graph of a tree, which is a block graph in which every cut-vertex is incident to at most two blocks. A flower, which is a block graph with only one cut-vertex, is also considered. This talk is based on joint work with Souvik Roy
and Ebrahim Ghorbani.

欢迎教师、学生参加 !

上一条:数学系Seminar第1289期 图像配准和统计形状分析的流形上的贝叶斯模型

下一条:数学系Seminar第1289期 图像配准和统计形状分析的流形上的贝叶斯模型