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On commuting graphs of semisimple rings

✍ Scribed by S. Akbari; M. Ghandehari; M. Hadian; A. Mohammadian


Book ID
108198733
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
227 KB
Volume
390
Category
Article
ISSN
0024-3795

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