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Paper IPM / M / 13514  


Abstract:  
Let R be a finite commutative ring with nonzero identity. The unit graph
of R is the graph obtained by setting all the elements of R to be the
vertices and defining distinct vertices x and y to be adjacent if and
only if x+y is a unit element of R. In this paper, a classification of
finite commutative rings with nonzero identity in which their unit graphs
have domination number less than four is given.
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