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The embedding of line graphs associated to the zero-divisor graphs of commutative rings

โœ Scribed by Hung-Jen Chiang-Hsieh; Pei-Feng Lee; Hsin-Ju Wang

Book ID
107529355
Publisher
The Hebrew University Magnes Press
Year
2010
Tongue
English
Weight
998 KB
Volume
180
Category
Article
ISSN
0021-2172

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๐Ÿ“œ SIMILAR VOLUMES

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

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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.