Remarks on the zero-divisor graph of a commutative ring
In 1988, I.Beck showed that the chromatic number of G(Zn) is equal to its clique number.In 2004, S.Akbari and A.Mohammadian proved that the edge chromatic number of G(Zn) is equal to its maximum degree,in 2008, J.Skowronek-kaziow give formulas calculating the clique number and the maximum degree of...
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22-01-2015
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| Abstract | In 1988, I.Beck showed that the chromatic number of G(Zn) is equal to its
clique number.In 2004, S.Akbari and A.Mohammadian proved that the edge
chromatic number of G(Zn) is equal to its maximum degree,in 2008,
J.Skowronek-kaziow give formulas calculating the clique number and the maximum
degree of G(Zn), but he have a error about clique number of G(Zn), we consider
the zero-divisor graph G(Zn) of the ring Zn.we give formulas calculating the
clique number of G(Zn).We present a constructed method to calculate the clique
number. |
|---|---|
| AbstractList | In 1988, I.Beck showed that the chromatic number of G(Zn) is equal to its
clique number.In 2004, S.Akbari and A.Mohammadian proved that the edge
chromatic number of G(Zn) is equal to its maximum degree,in 2008,
J.Skowronek-kaziow give formulas calculating the clique number and the maximum
degree of G(Zn), but he have a error about clique number of G(Zn), we consider
the zero-divisor graph G(Zn) of the ring Zn.we give formulas calculating the
clique number of G(Zn).We present a constructed method to calculate the clique
number. |
| Author | Yanzhao, Tian Qijiao, Wei |
| Author_xml | – sequence: 1 givenname: Tian surname: Yanzhao fullname: Yanzhao, Tian – sequence: 2 givenname: Wei surname: Qijiao fullname: Qijiao, Wei |
| BackLink | https://doi.org/10.48550/arXiv.1501.05704$$DView paper in arXiv |
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| Snippet | In 1988, I.Beck showed that the chromatic number of G(Zn) is equal to its
clique number.In 2004, S.Akbari and A.Mohammadian proved that the edge
chromatic... |
| SourceID | arxiv |
| SourceType | Open Access Repository |
| SubjectTerms | Mathematics - Commutative Algebra Mathematics - Number Theory |
| Title | Remarks on the zero-divisor graph of a commutative ring |
| URI | https://arxiv.org/abs/1501.05704 |
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