On Randić spectrum of zero divisor graphs of commutative ring $mathbb{Z}_{n} $
2021
For a finite commutative ring $ mathbb{Z}_{n} $ with identity $ 1neq 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.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
0
References
0
Citations
NaN
KQI