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An approach of using RGB-tilings for proving the Four Color Theorem discussedin three previous work is expanded in this paper. A novel methodology andrevisions for the methodology in the three aforementioned papers are discussed,and a previously derived result involving three degree-five vertices in atriangular graph is improved. Moreover, a treatment of a novel topic for agraph with six vertices of degree 5 in a dumbbell shape is presented.

A sequel to the adventure of RGB-tilings to explore the Four Color Theorem