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p-Order Prime Graph

. R.M. Muthulakshmi N. Lalitha D. Premalatha


Let be a group with identity . Let p be a prime number. The p-Order Prime graph graph of is a graph with and two distinct vertices and are adjacent in if and only if . In this paper, we want to explore how the group theoretical properties of can effect on the graph theoretical properties of . Some characterizations for fundamental properties of have also been obtained.


Key words: p-Order Prime graph, finite group, self inverse element.

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