Construct a connected graph containing n vertices for which the 3-Coloring Backtracking algorithm will take exponential...
Construct a connected graph containing n vertices for which the 3-Coloring Backtracking algorithm will take exponential time to discover that the graph is not 3-colorable.
Is there many solutions to this problem? give me a idea.
Homework Answers
The time complexity of optimal algorithm for 3-Coloring Backtracking algorithm is O(1.3289n).
So, the algorithm will take exponential time to discover that the graph is not 3-colorable for any connected graph possible.
Hence, yes there are multiple solutions to this question.
One of the graphs can be a complete graph with 8 vertices, it is drawn below :
Add Answer to:
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