Graphs of $BCI/BCK$-algebras

Authors: ATENA TAHMASBPOUR MEIKOLA

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

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