Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON THE TOPOLOGICAL INDICES OF ZERO DIVISOR GRAPHS OF SOME COMMUTATIVE RINGS

  • FARIZ MAULANA (Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung) ;
  • MUHAMMAD ZULFIKAR ADITYA (Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung) ;
  • ERMA SUWASTIKA (Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung) ;
  • INTAN MUCHTADI-ALAMSYAH (Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung) ;
  • NUR IDAYU ALIMON (Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA) ;
  • NOR HANIZA SARMIN (Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia)
  • Received : 2023.11.19
  • Accepted : 2024.01.24
  • Published : 2024.05.30
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Abstract

The zero divisor graph is the most basic way of representing an algebraic structure as a graph. For any commutative ring R, each element is a vertex on the zero divisor graph and two vertices are defined as adjacent if and only if the product of those vertices equals zero. In this research, we determine some topological indices such as the Wiener index, the edge-Wiener index, the hyper-Wiener index, the Harary index, the first Zagreb index, the second Zagreb index, and the Gutman index of zero divisor graph of integers modulo prime power and its direct product.

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Acknowledgement

This research was funded by ITB International Research Grant 2021.

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