Finite rings with Eulerian zero-divisor graphs. (Q2892996)
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scientific article; zbMATH DE number 6049621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite rings with Eulerian zero-divisor graphs. |
scientific article; zbMATH DE number 6049621 |
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25 June 2012
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zero divisor graphs
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Eulerian graphs
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finite rings
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0.96029127
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0.9570332
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0.9503709
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0.94328845
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0.92701674
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0.9248656
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0.9221827
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0.9204791
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Finite rings with Eulerian zero-divisor graphs. (English)
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The author describes all finite associative (not necessarily commutative) rings whose zero divisor graphs are Eulerian. A zero divisor graph \(\Gamma(R)\) in this paper has the vertex set consisting of all one-sided and two sided zero divisors, and two distinct vertices \(x\) and \(y\) are adjacent if and only if either \(xy=0\) or \(yx=0\).
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