Abstract:The aim of this paper is to study special graphs of BCI/BCK -algebras. In this paper, we introduce one kind of graph of BCI -algebras based on branches of X and two kinds of graphs of BCK -algebras based on ideal I .Then we study some of the essential properties of graph theory on the basis of those structures. In particular, we study the planar, outerplanar, toroidal, K -connected, chordal, K -partite, and Eulerian properties of graph theory.
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