Regular divisor graph of finite commutative ring

Authors

  • Payman Abbas Rashid Department of Mathematics, Salahuddin University, Iraq
  • Hataw Saleem Rashid Department of Mathematics, Salahuddin University, Iraq

DOI:

https://doi.org/10.25130/tjps.v28i5.1587

Keywords:

Regular divisor graph, Vertex-connectivity, Edge-connectivity, Block

Abstract

Let R be a finite commutative ring with identity 1. We introduce a new graph called regular divisor graph and denoted by . We classify the finite commutative ring to get a special graph and we are going to study some properties of this graph, clique number, chromatic number, number of cycles, connectivity and blocks.

Author Biography

Payman Abbas Rashid, Department of Mathematics, Salahuddin University, Iraq

    

 

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Published

2023-10-25

How to Cite

Rashid, P. A., & Rashid, H. S. (2023). Regular divisor graph of finite commutative ring . Tikrit Journal of Pure Science, 28(5), 158–175. https://doi.org/10.25130/tjps.v28i5.1587

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