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Distance-Based Topological Polynomials Associated with Zero-Divisor Graphs

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  • Ali Ahmad
  • S. C. López

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.

Suggested Citation

  • Ali Ahmad & S. C. López, 2021. "Distance-Based Topological Polynomials Associated with Zero-Divisor Graphs," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-8, May.
    • Handle: RePEc:hin:jnlmpe:4959559
    DOI: 10.1155/2021/4959559
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