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  2. Unfriendly partition - Wikipedia

    en.wikipedia.org/wiki/Unfriendly_partition

    The unfriendly partition conjecture is an unsolved problem asking whether every countable graph has an unfriendly partition into two subsets. [ 1 ] Robert H. Cowan and William R. Emerson, in unpublished work, conjectured that every infinite graph has an unfriendly partition into two subsets.

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  4. One-relator group - Wikipedia

    en.wikipedia.org/wiki/One-relator_group

    His proof of Freiheitssatz and of the solution of the word problem for one-relator groups was based on this approach. Later Moldavansky simplified the framework and noted that in this case G itself is an HNN-extension of L with associated subgroups being Magnus free subgroups of L.

  5. Computational hardness assumption - Wikipedia

    en.wikipedia.org/wiki/Computational_hardness...

    For a given problem, average-case hardness implies worst-case hardness, so an average-case hardness assumption is stronger than a worst-case hardness assumption for the same problem. Furthermore, even for incomparable problems, an assumption like the exponential time hypothesis is often considered preferable to an average-case assumption like ...

  6. Bayesian persuasion - Wikipedia

    en.wikipedia.org/wiki/Bayesian_persuasion

    Bayesian persuasion is a special case of a principal–agent problem: the principal is the sender and the agent is the receiver. It can also be seen as a communication protocol , comparable to signaling games ; [ 2 ] the sender must decide what signal to reveal to the receiver to maximize their expected utility .

  7. The (Real) Problem With Fake Plants - AOL

    www.aol.com/real-problem-fake-plants-110123038.html

    The (Real) Problem With Fake Plants. Maria Balaska. January 25, 2025 at 6:01 AM. Credit - Photo-Illustration by TIME; Capelle.r/Getty Images; Artfully79/Getty Images ... he considered the case of ...

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  9. Group isomorphism problem - Wikipedia

    en.wikipedia.org/wiki/Group_isomorphism_problem

    The isomorphism problem was formulated by Max Dehn, [1] and together with the word problem and conjugacy problem, is one of three fundamental decision problems in group theory he identified in 1911. [2] All three problems, formulated as ranging over all finitely presented groups, are undecidable. In the case of the isomorphism problem, this ...