Laplacian Spectrum of the Weakly Zero-Divisor Graph of a Finite Commutative Ring

Hampher Shylla, Sainkupar Mn Mawiong, John Paul Jala Kharbhih

For a commutative ring $R$ with identity, the \emph{weakly zero-divisor graph} $W\Gamma (R)$ has vertex set $Z(R{)}^{\ast }$, with distinct vertices $x$ and $y$ adjacent whenever there exis…