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dc.contributor.authorDemaine, Erik D
dc.contributor.authorDemaine, Martin L
dc.contributor.authorMinsky, Yair N.
dc.contributor.authorMitchell, Joseph S. B.
dc.contributor.authorRivest, Ronald L
dc.contributor.authorPǎtraşcu, Mihai
dc.date.accessioned2020-10-28T22:11:04Z
dc.date.available2020-10-28T22:11:04Z
dc.date.issued2013-09
dc.identifier.issn1432-4350
dc.identifier.issn1433-0490
dc.identifier.urihttps://hdl.handle.net/1721.1/128234
dc.description.abstractWe show how to hang a picture by wrapping rope around n nails, making a polynomial number of twists, such that the picture falls whenever any k out of the n nails get removed, and the picture remains hanging when fewer than k nails get removed. This construction makes for some fun mathematical magic performances. More generally, we characterize the possible Boolean functions characterizing when the picture falls in terms of which nails get removed as all monotone Boolean functions. This construction requires an exponential number of twists in the worst case, but exponential complexity is almost always necessary for general functions.en_US
dc.language.isoen
dc.publisherSpringer Science and Business Media LLCen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s00224-013-9501-0en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.titlePicture-Hanging Puzzlesen_US
dc.typeArticleen_US
dc.identifier.citationDemaine, Erik D. et al. "Picture-Hanging Puzzles." Theory of Computing Systems (September 2013): 531–550 © 2013 Springer Science+Business Media New Yorken_US
dc.contributor.departmentMassachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratoryen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Scienceen_US
dc.relation.journalTheory of Computing Systemsen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2019-06-18T18:49:33Z
dspace.date.submission2019-06-18T18:49:35Z
mit.journal.volume54en_US
mit.journal.issue4en_US
mit.metadata.statusComplete


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