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

Abstract

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

This new submit/5297740 uses 20 page to revise the previous three submissions that have about 130 pages about a new method. The revise of submit/5297740 offers a good way for all readers to understand the new method. Without this revised, most reader will get trouble. 30 pages, 22 figures