# THE POWER GRAPH REPRESENTATION FOR INTEGER MODULO GROUP WITH POWER PRIME ORDER

• Lalu Riski Wirendra Putra Department of Mathematics, Faculty of Mathematics and Natural Science, University of Mataram, Indonesia
• Zata Yumni Awanis Department of Mathematics, Faculty of Mathematics and Natural Science, University of Mataram, Indonesia
• Salwa Salwa Department of Mathematics, Faculty of Mathematics and Natural Science, University of Mataram, Indonesia
• Qurratul Aini Department of Mathematics, Faculty of Mathematics and Natural Science, University of Mataram, Indonesia
• I Gede Adhitya Wisnu Wardhana Department of Mathematics, Faculty of Mathematics and Natural Science, University of Mataram, Indonesia
Keywords: Power graph, Group, Power prime, Integer modulo

### Abstract

There are many applications of graphs in various fields. Starting from chemical problems, such as the molecular shape of a compound to internet network problems, we can also use graphs to depict the abstract concept of a mathematical structure.. Groups in Algebra can be represented as a graph. This is interesting because Groups are abstract objects in mathematics. The graph of a group shows the physical form of the group by looking at the relationship between its elements. So, we can know the distance of the elements. In 2013, Abawajy et al. conducted studies related to power graphs. Power graph representation of groups of integers modulo with the order of prime numbers has been carried out in 2022 by Syechah, et al. In this article, the author provides the properties of a power graph on a group of integers modulo with the order of powers of prime numbers.

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Published
2023-09-30
How to Cite
[1]
L. R. W. Putra, Z. Y. Awanis, S. Salwa, Q. Aini, and I. G. A. Wardhana, “THE POWER GRAPH REPRESENTATION FOR INTEGER MODULO GROUP WITH POWER PRIME ORDER”, BAREKENG: J. Math. & App., vol. 17, no. 3, pp. 1393-1400, Sep. 2023.
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Articles