5-color theorem problem How does the construction given in the proof assign colo

Question

5-color theorem problem How does the construction given in the proof assign colors for the graph? a) every visible vertex colored c3 is assigned new color c1, every visible vertex colored c1 is assigned new color c3, and v is assigned color c3 b) every visible vertex colored c1 is assigned new color c3, every visible vertex colored c3 is assigned new color c1, and v is assigned color c1 c) every visible vertex colored c2 is assigned new color c4, every visible vertex colored c4 is assigned new color c2, and v is assigned color c2 d) every visible vertex colored c4 is assigned new color c2, every visible vertex colored c2 is assigned new color c4, and v is assigned color c4

Explanation / Answer

Here since two vertices have the same colour therefore vertex v can be assigned the new colour c5 which is available according to the diagram.

Hence the answer will be option e

Vertex v is assigned c5 and no changes are made to the other vertices.

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