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  1. NP-hardness - Wikipedia

    In computational complexity theory, a computational problem H is called NP-hard if, for every problem L which can be solved in non-deterministic polynomial-time, there is a polynomial …

  2. NP-Hard Class - GeeksforGeeks

    Jul 23, 2025 · NP-Hard is a computational complexity theory that acts as a defining property for the class of problems that are "at least as hard as the hardest problems in NP".

  3. What are the differences between NP, NP-Complete and NP-Hard?

    Dec 7, 2009 · NP-Hard: These are at least as hard as the hardest problems in NP. If we can solve these problems in polynomial time, we can solve any NP problem that can possibly exist.

  4. NP Hard & NP-Complete Classes - Online Tutorials Library

    A problem is NP-hard if all problems in NP are polynomial time reducible to it, even though it may not be in NP itself. If a polynomial time algorithm exists for any of these problems, all problems …

  5. NP-Hard Problem - from Wolfram MathWorld

    Dec 3, 2025 · A problem is NP-hard if an algorithm for solving it can be translated into one for solving any NP-problem (nondeterministic polynomial time) problem. NP-hard therefore means …

  6. Understanding P, NP, NP-Complete, and NP-Hard Problems: A

    Jun 30, 2025 · A problem is NP-Hard if every NP problem can be reduced to it in polynomial time, but NP-Hard problems are not required to be in NP. NP-Hard problems may not even have a …

  7. P, NP, NP-Complete and NP-Hard Problems in Computer Science

    Mar 18, 2024 · In computer science, there exist several famous unresolved problems, and is one of the most studied ones. Until now, the answer to that problem is mainly “no”. And, this is …

  8. NP-hard Problem: Understanding Computational Complexity

    What is an NP-hard Problem? An NP-hard problem is a classification in computational complexity theory describing problems that are at least as hard as the hardest problems in NP …

  9. The Ultimate Guide to NP-Hardness - numberanalytics.com

    Jun 14, 2025 · NP-Hard problems are a class of problems that are at least as hard as the hardest problems in NP (nondeterministic polynomial time). Informally, a problem is NP-Hard if it is …

  10. A problem is NP-hard if all problems in NP can be reduced to it in polynomial time. So if any NP-hard problem can be solved in polynomial time, then any problem in NP can also be solved in …