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Oriented covers of the triangular graphs
发布时间: 2018-03-25     13:57   【返回上一页】 发布人:Akihiro Munemasa


 

北京师范大学数学科学学院

 

周五公众报告

 

报告题目:Oriented covers of the triangular graphs

 

报告人: Prof. Akihiro Munemasa (Tohoku University)

 

时间地点:330日下午3:00-4:00 后主楼1124

 

邀请人:吕本建

 

报告摘要:The line graph of the complete graph $K_n$ is known as the triangular graph $T(n)$, and it is a strongly regular graph on $n(n-1)/2$ vertices. The line digraph of the complete digraph on $n$ vertices is a digraph with $n(n-1)$ vertices, and it can be regarded as an oriented cover of $T(n)$. Group theoretically speaking, the canonical surjection is $S_n/S_{n-2}/rightarrow S_n/S_2/times S_{n-2}$. Despite the fact that the association scheme defined on $S_n/S_{n-2}$ is noncommutative, we show that an analogue of the eigenmatrices can be almost uniquely defined as in the commutative case. We explain how to determine their entries.

 

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