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On Randić spectrum of zero divisor graphs of commutative ring $\mathbb{Z}_{n} $ | ||
Communications in Combinatorics and Optimization | ||
مقاله 8، دوره 8، شماره 1، خرداد 2023، صفحه 103-113 اصل مقاله (487.63 K) | ||
نوع مقاله: Original paper | ||
شناسه دیجیتال (DOI): 10.22049/cco.2021.27202.1212 | ||
نویسندگان | ||
Bilal Rather1؛ Shariefuddin Pirzada* 2؛ Imran Bhat3؛ Tariq Chishti1 | ||
1University of Kashmir | ||
2Department of Mathematics, Hazratbal | ||
3Central University of Kashmir | ||
چکیده | ||
For a finite commutative ring $ \mathbb{Z}_{n} $ with identity $ 1\neq 0 $, the zero divisor graph $ \Gamma(\mathbb{Z}_{n}) $ is a simple connected graph having vertex set as the set of non-zero zero divisors, where two vertices $ x $ and $ y $ are adjacent if and only if $ xy=0 $. We find the Randi'c spectrum of the zero divisor graphs $ \Gamma(\mathbb{Z}_{n}) $, for various values of $ n$ and characterize $ n $ for which $ \Gamma(\mathbb{Z}_{n}) $ is Randi'c integral. | ||
کلیدواژهها | ||
Randić matrix؛ Randić spectrum؛ zero divisor graph؛ commutative rings | ||
مراجع | ||
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