Classification of rings with unit graphs having domination number less than four
Sima Kiani, Hamid Reza Maimani, Mohammad Reza Pournaki, Siamak Yassemi · Rendiconti del Seminario Matematico della Università di Padova · 2015
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.