Power graphs of Brandt semigroups

Boxing Yang, Yanliang Cheng, Lingli Zeng, Yong Shao · AKCE International Journal of Graphs and Combinatorics · 2025

In this paper, we give some classes of Brandt semigroups which can be uniquely determined by their power graphs. Additionally, it is proved that the completely 0-simple semigroup whose automorphism group is same as that of its power graph is precisely K40.

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