论文标题
有限半群上各种图的平等
Equality of various graphs on finite semigroups
论文作者
论文摘要
在本文中，我们考虑了各种图形：电源图，循环图，增强功率图和通勤图，在有限的Semigroup $ s $上。对于这四个图中的任意对，我们对有限的半群进行了分类，以使该对中的图相等。在这方面，对于每个图，我们还为$ s $提供了必要且充分的条件，以使其完成。本文的工作概括了组获得的相应结果。
In this paper, we consider various graphs, namely: power graph, cyclic graph, enhanced power graph and commuting graph, on a finite semigroup $S$. For an arbitrary pair of these four graphs, we classify finite semigroups such that the graphs in this pair are equal. In this connection, for each of the graph we also give a necessary and sufficient condition on $S$ such that it is complete. The work of this paper generalize the corresponding results obtained for groups.
