Some Parameters of Non-Zero Zero Divisor Graphs


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Authors

  • Varta Teotia Department of Mathematics, Pacific Academy of Higher Education & Research University, Udaipur, Rajasthan, India
  • Sapna Shrimali Department of Mathematics, Pacific Academy of Higher Education & Research University, Udaipur, Rajasthan, India

Keywords:

Commutative semigroup, zero-divisor,graphs, diameter, radius, cut-vertex

Abstract

Let S be a commutative semigroup including zero. The zero divisor graph associated to S, denoted by $\Gamma(Z)$ is the graph whose vertices are the nonzero zero divisors of S and two vertices x and y are adjacent in case their product in the semigroup is zero. There are many known results on the possible structure of such graphs. We study the converse problem. In this paper, we investigate diameter, radius and cut vertex parameters of some non-zero zero divisor graphs.

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Published

15-06-2018

How to Cite

Varta Teotia, & Sapna Shrimali. (2018). Some Parameters of Non-Zero Zero Divisor Graphs. International Journal of Mathematics And Its Applications, 6(2 - B), 385–388. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/737

Issue

Vol. 6 No. 2 - B (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.