dc.contributor.author | Demaine, Erik D. | |
dc.contributor.author | Demaine, Martin L. | |
dc.contributor.author | Eisenstat, Sarah Charmian | |
dc.contributor.author | Cannon, Sarah | |
dc.contributor.author | Patitz, Matthew J. | |
dc.contributor.author | Schweller, Robert T. | |
dc.contributor.author | Summers, Scott M. | |
dc.contributor.author | Winslow, Andrew | |
dc.date.accessioned | 2014-05-23T14:10:36Z | |
dc.date.available | 2014-05-23T14:10:36Z | |
dc.date.issued | 2013 | |
dc.identifier.isbn | 9783939897507 | |
dc.identifier.isbn | 3939897507 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/87116 | |
dc.description.abstract | We study the difference between the standard seeded model (aTAM) of tile self-assembly, and the "seedless" two-handed model of tile self-assembly (2HAM). Most of our results suggest that the two-handed model is more powerful. In particular, we show how to simulate any seeded system with a two-handed system that is essentially just a constant factor larger. We exhibit finite shapes with a busy-beaver separation in the number of distinct tiles required by seeded versus two-handed, and exhibit an infinite shape that can be constructed two-handed but not seeded. Finally, we show that verifying whether a given system uniquely assembles a desired supertile is co-NP-complete in the two-handed model, while it was known to be polynomially solvable in the seeded model. | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (NSF grant CDI-0941538) | en_US |
dc.language.iso | en_US | |
dc.publisher | Schloss Dagstuhl Publishing | en_US |
dc.relation.isversionof | http://dx.doi.org/10.4230/LIPIcs.STACS.2013.172 | en_US |
dc.rights | Creative Commons Attribution-NonCommercial-No Derivative Works 3.0 | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | en_US |
dc.source | International Symposium on Theoretical Aspects of Computer Science | en_US |
dc.title | Two Hands Are Better Than One (up to constant factors): Self-Assembly In The 2HAM vs. aTAM | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Cannon, Sarah, Erik D. Demaine, Martin L. Demaine, Sarah Eisenstat, Matthew J. Patitz, Scott M. Summers, and Andrew Winslow. "Two Hands Are Better Than One (up to constant factors): Self-Assembly In The 2HAM vs. aTAM." 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013), Feb.27-Mar. 2nd, 2013, Kiel, Germany. | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science | en_US |
dc.contributor.mitauthor | Demaine, Erik D. | en_US |
dc.contributor.mitauthor | Demaine, Martin L. | en_US |
dc.contributor.mitauthor | Eisenstat, Sarah Charmian | en_US |
dc.relation.journal | Proceedings of the International Symposium on Theoretical Aspects of Computer Science, STACS 2013 | en_US |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/ConferencePaper | en_US |
eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
dspace.orderedauthors | Cannon, Sarah; Demaine, Erik D.; Demaine, Maritn L.; Eisenstat, Sarah; Patitz, Matthew J.; Schweller, Robert T.; Summers, Scott M.; Winslow, Andrew | en_US |
dc.identifier.orcid | https://orcid.org/0000-0003-3803-5703 | |
dc.identifier.orcid | https://orcid.org/0000-0002-3182-1675 | |
mit.license | PUBLISHER_CC | en_US |
mit.metadata.status | Complete | |