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SOME RESULTS ON COZERO-DIVISOR GRAPH OF A COMMUTATIVE RING

โœ Scribed by AKBARI, S.; ALIZADEH, F.; KHOJASTEH, S.


Book ID
126654008
Publisher
World Scientific Publishing Company
Year
2013
Tongue
English
Weight
250 KB
Volume
13
Category
Article
ISSN
0219-4988

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๐Ÿ“œ SIMILAR VOLUMES


On the zero-divisor graph of a commutati
โœ S. Akbari; A. Mohammadian ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 192 KB

Let R be a commutative ring and ฮ“ (R) be its zero-divisor graph. In this paper it is shown that for any finite commutative ring R, the edge chromatic number of ฮ“ (R) is equal to the maximum degree of ฮ“ (R), unless ฮ“ (R) is a complete graph of odd order. In [D.F.

The Zero-Divisor Graph of a Commutative
โœ David F. Anderson; Philip S. Livingston ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 121 KB

For each commutative ring R we associate a simple graph โŒซ R . We investigate the interplay between the ring-theoretic properties of R and the graph-theo-ลฝ . retic properties of โŒซ R .