Planarity and outerplanarity indexes of the zero-divisor graphs
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In this paper, we consider the problem of planarity and outerplanarity of iterated line graphs of the zero divisor graphs for finite commutative rings. We give a full characterization of all zero divisor graphs with respect to their planarity and outerplanarity indexes.
KeywordsZero-divisor graph Iterated line graph Planarity index Outerplanarity index
Mathematics Subject Classification05C10 05C25
The author thanks the referee for his/her thorough review and highly appreciate the comments and suggestions, which significantly contributed to improving the quality of the paper.
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