DOI: https://doi.org/10.14710/jfma.v9i1.30612

M-Polynomial of Regular Divisor Graph of Finite Commutative Ring

*Payman Abbas Rashed orcid scopus  -  Salahuddin University/ Collage of Basic Education/ Mathematical Departments/ Erbil -Iraq, Iraq

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Abstract
For the finite commutative ring R with identity, for all non-zero elements   and   in the ring R are adjacent if and only if   or    , this graph is called by regular divisor graph and denoted by , with vertex set consists of elements of and edge set or . We classify the finite commutative ring to get a special graph and we are going to study some properties of this graph, up to the R which is local, Boolean and field. And we study the M-polynomial of the regular divisor graph , and the general form of regular divisor graph of R=Zp Zq. In this paper we got some new results with appear with the new graph.
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Keywords: Regular divisor graph, M- polynomial, Cross product of fields Zp×Zq.

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
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