Distance-Based Topological Polynomials Associated with Zero-Divisor Graphs
Open Access
- 27 May 2021
- journal article
- research article
- Published by Wiley in Mathematical Problems in Engineering
- 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.Keywords
Funding Information
- Ministerio de Ciencia, Innovación y Universidades (PGC2018-095471-B-I00)
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