Distance-Based Topological Polynomials Associated with Zero-Divisor Graphs

Ali Ahmad and S. C. López

Mathematical Problems in Engineering, 2021, vol. 2021, 1-8

Abstract:

Let be a commutative ring with nonzero identity and let be its set of zero divisors. The zero-divisor graph of is the graph with vertex set , where , and edge set . One of the basic results for these graphs is that is connected with diameter less than or equal to 3. In this paper, we obtain a few distance-based topological polynomials and indices of zero-divisor graph when the commutative ring is , namely, the Wiener index, the Hosoya polynomial, and the Shultz and the modified Shultz indices and polynomials.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:4959559

DOI: 10.1155/2021/4959559

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