Energy and Wiener index of zero-divisor graphs
MR Ahmadi, R Jahani-Nezhad - Iranian Journal of Mathematical …, 2011 - ijmc.kashanu.ac.ir
Iranian Journal of Mathematical Chemistry, 2011•ijmc.kashanu.ac.ir
… Let R be a commutative ring and Γ(R) be its zero-divisor graph. In this article, we study
Wiener index and energy of Γ(Zn ) where n = pq or n = p2q and p, q are primes. A MATLAB
code for our calculations is also presented. … By the zero-divisor graph of R, denoted Γ(R),
we mean the graph whose vertices are the nonzero zero-divisors of R and for distinct r,s in Z*(R),
there is an edge connecting r and s if and only if rs = 0. We use M(Γ(R)) to denote adjacency
matrix of Γ(R) [3]. Consider Zn, the set of integers modulo n. …
Wiener index and energy of Γ(Zn ) where n = pq or n = p2q and p, q are primes. A MATLAB
code for our calculations is also presented. … By the zero-divisor graph of R, denoted Γ(R),
we mean the graph whose vertices are the nonzero zero-divisors of R and for distinct r,s in Z*(R),
there is an edge connecting r and s if and only if rs = 0. We use M(Γ(R)) to denote adjacency
matrix of Γ(R) [3]. Consider Zn, the set of integers modulo n. …
Let R be a commutative ring and (R) be its zerodivisor graph. In this article, we study Wiener index and energy of Γ(Zn ) where n = pq or n = p2q and p, q are primes. A MATLAB code for our calculations is also presented.
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