Abstract
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.
Citation
Thomas McKenzie. Shannon Overbay. "Book Thickness of Planar Zero Divisor Graphs." Missouri J. Math. Sci. 27 (1) 2 - 9, November 2015. https://doi.org/10.35834/mjms/1449161362
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