论文标题
在循环图的部分异构体的单体上
On the monoid of partial isometries of a cycle graph
论文作者
论文摘要
在本文中，我们考虑了$ n $ cycle图$ c_n $的所有部分异构体的单差$ \ dpc_n $。我们表明，$ \ dpc_n $是$ n $链上所有定向部分排列的sibonoid，其元素完全是对二订单订单$ 2N $的所有限制。我们的主要目的是展示$ \ dpc_n $的演示文稿。我们还描述了格林的$ \ dpc_n $的关系，并计算其红衣主教和等级。
In this paper we consider the monoid $\DPC_n$ of all partial isometries of a $n$-cycle graph $C_n$. We show that $\DPC_n$ is the submonoid of the monoid of all oriented partial permutations on a $n$-chain whose elements are precisely all restrictions of the dihedral group of order $2n$. Our main aim is to exhibit a presentation of $\DPC_n$. We also describe Green's relations of $\DPC_n$ and calculate its cardinal and rank.
