Graphs of Lattice Implication Algebras Based on LI-ideal

In this paper, two types of graphs of lattice implication algebras will be studied. To do so, the notion of equivalence relation of lattice implication algebra is first introduced. Then two types of graphs ( ) and ( ) are defined, respectively. Moreover, we investigate basic properties of these graphs such as planar, outerplanar, connected, Eulerian properties of graph theory.

Keywords:

Lattice implication algebra , chordal graph , clique , planar graph , girth , LI-ideal.