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Research articles

ScienceAsia 47 (2021): 657-664 |doi: 10.2306/scienceasia1513-1874.2021.091

The intersection power graph associated with a finite group

Wei Lv, Xuanlong Ma*

ABSTRACT:     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):4753]. Moreover, the finite groups with dominatable intersection power graphs are characterized, which generalizes some results in Bera [Electron J Graph Theory Appl 6 (2018):178189]. 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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a School of Science, Xi?an Shiyou University, Xi?an 710065 China

* Corresponding author, E-mail: xuanlma@mail.bnu.edu.cn

Received 30 Sep 2020, Accepted 8 Aug 2021