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cs.CC2026
Generalized Fibonacci gates are Frobenius algebras: a proof of Liu's conjecture
Aaron Sterling
Liu introduced generalized Fibonacci gates on domains of size 3 and 4, proved that Holant problems built from them are tractable by a cut-and-merge algorithm, and conjectured that…
cs.CC2009
Self-Assembly of a Statistically Self-Similar Fractal
Aaron Sterling
We demonstrate existence of a tile assembly system that self-assembles the statistically self-similar Sierpinski Triangle in the Winfree-Rothemund Tile Assembly Model. This appears…
cs.CC2009★ 1 cited
A Time Lower Bound for Multiple Nucleation on a Surface
Aaron Sterling
Majumder, Reif and Sahu have presented a stochastic model of reversible, error-permitting, two-dimensional tile self-assembly, and showed that restricted classes of tile assembly s…