Graphs of $BCI/BCK$-algebras
Authors : Atena Tahmasbpour Meikola
Pages : 1272-1293
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Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : $BCI$-algebra, chordal graph, connected graph, clique, $K$-partite graph, planar graph, girth