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Commutative Rings Whose Zero-Divisor Graphs Have Positive Genus

โœ Scribed by Aliniaeifard, F.; Behboodi, M.

Book ID
120599188
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
128 KB
Volume
41
Category
Article
ISSN
0092-7872

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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.