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A Combinatorial Analysis of Zero-Divisor Graphs on Certain Polynomial Rings

โœ Scribed by Vietri, Andrea

Book ID
120339556
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
198 KB
Volume
41
Category
Article
ISSN
0092-7872

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๐Ÿ“œ SIMILAR VOLUMES

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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.

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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 .