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- W129334821 abstract "We employ a model for self-assembling graph-theoretical complexes using tiles representing branched-junction DNA molecules with free cohesive ends. We determine the minimum number of tile and bond-edge types necessary to create a given graph as a self-assembled complex under three different scenarios: (1) where the incidental creation of complexes of smaller size than the target graph is acceptable; (2) where the incidental creation of complexes the same size as the target graph is acceptable, but not smaller complexes; and (3) where no complexes the same size as or smaller than the target graph are acceptable. In each of these cases, we find bounds for the minimum number of tile and bond-edge types that must be designed, and give specific minimum values for common graph classes (including cycles and trees, as well as complete, bipartite, and regular graphs). For these classes of graphs, we provide either explicit descriptions of optimal tile sets or efficient algorithms for generating the desired set." @default.
- W129334821 created "2016-06-24" @default.
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- W129334821 date "2013-10-10" @default.
- W129334821 modified "2023-09-27" @default.
- W129334821 title "Minimal Tile and Bond-Edge Types for Self-Assembling DNA Graphs" @default.
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- W129334821 doi "https://doi.org/10.1007/978-3-642-40193-0_11" @default.
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