The intersection power graph associated with a finite group

Wei Lv, Xuanlong Ma · ScienceAsia · 2021

We characterize the independence number of the intersection power graph of a group, which extends some results in Aprose et al [Punjab Univ J Math 52 (2020):47-53].Moreover, the finite groups with dominatable intersection power graphs are characterized, which generalizes some results in Bera [Electron J Graph Theory Appl 6 (2018):178-189].Furthermore, we characterize the finite groups whose intersection power graphs equal to their power graphs, enhanced power graphs, commuting graphs, and order supergraphs.

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