Unique First Fit Algorithm Graph Coloring. The above algorithm doesn’t always use minimum number of colors. Note that in graph on right side, vertices 3 and 4 are swapped.
The above algorithm doesn’t always use minimum number of colors. Web for many graphs, the first fit algorithm does not find an optimal coloring. Also, the number of colors used sometime depend on the order in which vertices are processed.
Note that in graph on right side, vertices 3 and 4 are swapped. If we consider the vertices. Let’s think of graph coloring as a game with two.
For example, consider the following two graphs. The above algorithm doesn’t always use minimum number of colors.