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the topic is graph coloring problem this can be solved using backtracking first of all let us know what the problem is see a graph is given and some colors are given let us say three colors are given that is red green and blue now the problem is we have to color the vertices of a graph such that no two neighboring vertices or adjacent vertices must have same color so three colors are given to me let us try and see what colors we can get whether it is possible or not possible so Ill start from vertex one Ill give a red color to this one now Ill pick up second vertex two who are neighboring 2 2 1 and 3 but already red color is there to this neighboring vertex so this 2 cannot take red color so he will give green color now go to vertex 3 which color I can give can I give red color its not adjacent to 1 yes I can take a red color then what X 4 can I give red color this adjacent to this one no can I give green color so is it adjacent is it adjacent no I can take this color then here ca
