Let RR be a commutative finite semiring with nonzero identity and HH be an arbitrary multiplicatively closed subset RR. The generalized identity-summand graph of RR is the (simple) graph GH(R)GH(R) with all elements of RR as the vertices, and two distinct vertices xx and yy are adjacent if and only if x+y∈Hx+y∈H. In this paper, we study some basic properties of GH(R)GH(R). Moreover, we characterize the planarity, chromatic number, clique number and independence number of GH(R)GH(R).
Dergi Türü : Ulusal
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