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  2. List of unsolved problems in computer science - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    This article is a list of notable unsolved problems in computer science. A problem in computer science is considered unsolved when no solution is known or when experts in the field disagree about proposed solutions.

  3. Lists of unsolved problems - Wikipedia

    en.wikipedia.org/wiki/Lists_of_unsolved_problems

    List of unsolved problems may refer to several notable conjectures or open problems in various academic fields: ... Unsolved problems in computer science;

  4. List of NP-complete problems - Wikipedia

    en.wikipedia.org/wiki/List_of_NP-complete_problems

    NP-complete special cases include the edge dominating set problem, i.e., the dominating set problem in line graphs. NP-complete variants include the connected dominating set problem and the maximum leaf spanning tree problem. [3]: ND2 Feedback vertex set [2] [3]: GT7 Feedback arc set [2] [3]: GT8 Graph coloring [2] [3]: GT4

  5. P versus NP problem - Wikipedia

    en.wikipedia.org/wiki/P_versus_NP_problem

    The problem has been called the most important open problem in computer science. [1] Aside from being an important problem in computational theory , a proof either way would have profound implications for mathematics, cryptography , algorithm research, artificial intelligence , game theory , multimedia processing, philosophy , economics and ...

  6. Category:Unsolved problems in computer science - Wikipedia

    en.wikipedia.org/wiki/Category:Unsolved_problems...

    Pages in category "Unsolved problems in computer science" The following 33 pages are in this category, out of 33 total. This list may not reflect recent changes .

  7. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    The seven selected problems span a number of mathematical fields, namely algebraic geometry, arithmetic geometry, geometric topology, mathematical physics, number theory, partial differential equations, and theoretical computer science. Unlike Hilbert's problems, the problems selected by the Clay Institute were already renowned among ...

  8. NP-completeness - Wikipedia

    en.wikipedia.org/wiki/NP-completeness

    A polynomial-time problem can be very difficult to solve in practice if the polynomial's degree or constants are large enough. In addition, information-theoretic security provides cryptographic methods that cannot be broken even with unlimited computing power. "A large-scale quantum computer would be able to efficiently solve NP-complete problems."

  9. Two Generals' Problem - Wikipedia

    en.wikipedia.org/wiki/Two_Generals'_Problem

    A key concept in epistemic logic, this problem highlights the importance of common knowledge. Some authors also refer to this as the Two Generals' Paradox, the Two Armies Problem, or the Coordinated Attack Problem. [1] [2] The Two Generals' Problem was the first computer communication problem to be proven to be unsolvable. [3]