Which of the following problems is in P?
Show Hint
- Matrix multiplication
- Graph isomorphism
- Discrete logarithm
- Knapsack problem
The Correct Option is A
Solution and Explanation
- Matrix multiplication: This problem is known to be in, as matrix multiplication can be solved in polynomial time with algorithms that have time complexities like \(O(n^3)\), which is polynomial.
- Graph isomorphism: This problem has not been proven to be in , and its classification is still an open question. It is in NP but not known to be solvable in polynomial time.
- Discrete logarithm: This problem is not solvable in polynomial time and is widely considered to be sub-exponential in difficulty.
- Knapsack problem: The knapsack problem is NP-complete.
Therefore, the correct answer is 1. Matrix multiplication.
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