A Computational Model for Self-assembling Flexible Tiles
نویسندگان
چکیده
We present a theoretical model for self-assembling tiles with flexible branches motivated by DNA branched junction molecules. We encode an instance of a “problem” as a pot of such tiles, and a “solution” as an assembled complete complex without any free sticky ends (called ports), whose number of tiles is within predefined bounds. We develop an algebraic representation of this self-assembly process and use it to prove that this model of self-assembly precisely captures NP-computability when the number of tiles in the minimal complete complexes is bounded by a polynomial.
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Complexity classes for self-assembling flexible tiles
We present a theoretical model for self-assembling DNA tiles with flexible branches. We encode an instance of a ‘‘problem’’ as a pot of such tiles for which a ‘‘solution’’ is an assembled complete complex without any free sticky ends. Using the number of tiles in an assembled complex as a measure of complexity we show how NTIME classes (such as NP and NEXP) can be represented with corresponding...
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