LAUSR

The power graph $${\mathcal {P}}_{G}$$ P G of a finite group G is the graph whose vertex set is G , two distinct vertices are adjacent if one is a power of the other. The order supergraph $${\mathcal {S}}_{G}$$ S G of $${\mathcal {P}}_G$$ P G is the graph with vertex set G , and two distinct vertices x ,  y are adjacent if o ( x )| o ( y ) or o ( y )| o ( x ). In this paper, we study the independence number of $${\mathcal {S}}_{G}$$ S G and answer a question was posed by Hamzeh and Ashrafi.