Abdullah Makkeh (PhD student) has promised to explain the discharging method from topological graph theory with lots of examples. The discharging method underlies the proof of the famous Four-Color Theorem: "The vertices of a planar graph can be colored with 4 colors in such a way that no two adjacent vertices receive the same color."Since its inception, this method has been used to resolve a truckload of problems about planar graphs, and graphs on other surfaces. |

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