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Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings

โœ Scribed by Axtell, Michael; Coykendall, James; Stickles, Joe

Book ID
121282226
Publisher
Taylor and Francis Group
Year
2005
Tongue
English
Weight
125 KB
Volume
33
Category
Article
ISSN
0092-7872

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๐Ÿ“œ SIMILAR VOLUMES

The Zero-Divisor Graph of a Commutative
The Zero-Divisor Graph of a Commutative Ring
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 .

On the zero-divisor graph of a commutati
On the zero-divisor graph of a commutative ring
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.