Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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The Zero-divisor Graph of the Ring of Integers Modulo n

  • Pi, Seung Jun (Department of Mathematics, College of Natural Sciences, Kyungpook National University) ;
  • Kim, Se Hun (Department of Mathematics, Seoul National University) ;
  • Lim, Jung Wook (Department of Mathematics, College of Natural Sciences, Kyungpook National University)
  • Received : 2018.10.15
  • Accepted : 2019.11.11
  • Published : 2019.12.23
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Abstract

Let ℤn be the ring of integers modulo n and Γ(ℤn) the zero-divisor graph of ℤn. In this paper, we study some properties of Γ(ℤn). More precisely, we completely characterize the diameter and the girth of Γ(ℤn). We also calculate the chromatic number of Γ(ℤn).

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References

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