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Wiener and Harary index of the zero-divisor graph of ℤn

Ravindra P. Mahale, Kishor F. Pawar, Avinash A. Patil

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Source: Crossref

Published: Nov 7, 2024

DOI: 10.1142/s179383092450099x

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Source abstract

The zero-divisor graph of a ring [Formula: see text] is a graph whose vertex set consists of all the elements of [Formula: see text] and distinct vertices [Formula: see text] and [Formula: see text] are adjacent if and only if [Formula: see text]. We study the zero-divisor graph [Formula: see text], for [Formula: see text], where [Formula: see text] and [Formula: see text] are distinct primes. Topological indices such as Wiener and Harary indices of [Formula: see text] are determined.

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Wiener and Harary index of the zero-divisor graph of ℤn — Mathematical Frontier Network