Syarat Regularitas dan Eulerian Graf Unit dari Ring Z_n

Vika Yugi Kurniawan; Lailatul Chairul Nisa

doi:10.15575/kubik.v9i1.33693

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About The Authors

Vika Yugi Kurniawan
Universitas Sebelas Maret
Indonesia

Department of Mathemathics

Faculty of Mathematics and Natural Science

Lailatul Chairul Nisa
Universitas Sebelas Maret
Indonesia

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Syarat Regularitas dan Eulerian Graf Unit dari Ring Z_n

Vika Yugi Kurniawan^(1*), Lailatul Chairul Nisa⁽²⁾

(1) Universitas Sebelas Maret, Indonesia
(2) Universitas Sebelas Maret, Indonesia
(*) Corresponding Author

Abstract

Let be a ring of integers modulo and denote the set of all unit elements of the ring. The unit graph of which is denoted by is a simple graph, where the vertices of are all elements of, where two different vertices and are connected by an edge if and only if is the unit of. In this article, we will examine the properties of the unit graph of the ring. The results of this study show that is an Euler graph if where is even, and is a regular graph if is even.

Keywords

graf unit, derajat, graf Euler, graf regular

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References

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DOI: https://doi.org/10.15575/kubik.v9i1.33693

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Syarat Regularitas dan Eulerian Graf Unit dari Ring Z_n

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