Khoramdel, Mehdi2022-12-232022-12-232021https://doi.org/10.31801/cfsuasmas.783398http://hdl.handle.net/20.500.12575/86423Let R be a commutative finite semiring with nonzero identity and H be an arbitrary multiplicatively closed subset R. The generalized identity-summand graph of R is the (simple) graph GH(R) with all elements of R as the vertices, and two distinct vertices x and y are adjacent if and only if x+y∈H. In this paper, we study some basic properties of GH(R). Moreover, we characterize the planarity, chromatic number, clique number and independence number of GH(R).enI-semiring, planar graphs, clique number, chromatic number, independence numberArticle7029849961303-5991