Mathematics, graph theory
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My son, 13 y, has found a really good idea to prove the four colour map problem without computers, but he needs support to answer a question for a topology math problem. My son says, when on any map there is a region that needs five colours then there is a way to draw a graph with 5 vertices and edges from any to any vertex without cutting each other. This is the point to prove: that this isn't possible.