Let $R$ be a finite commutative ring with identity. We form the zero divisor graph of $R$ by taking the nonzero zero divisors as the vertices and connecting two vertices, $x$ and $y$, by an edge if and only if $xy=0$. We establish that if the zero divisor graph of a finite commutative ring with identity is planar, then the graph has a planar supergraph with a Hamiltonian cycle. We also determine the book thickness of all planar zero divisor graphs.
"Book Thickness of Planar Zero Divisor Graphs." Missouri J. Math. Sci. 27 (1) 2 - 9, November 2015. https://doi.org/10.35834/mjms/1449161362