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COMBINATORICS
2007
85views more  COMBINATORICS 2007»
13 years 4 months ago
Asymptotics of the Average Height of 2-Watermelons with a Wall
We generalize the classical work of de Bruijn, Knuth and Rice (giving the asymptotics of the average height of Dyck paths of length n) to the case of p–watermelons with a wall (...
Markus Fulmek
SODA
2004
ACM
160views Algorithms» more  SODA 2004»
13 years 5 months ago
Complexities for generalized models of self-assembly
In this paper, we extend Rothemund and Winfree's examination of the tile complexity of tile self-assembly [6]. They provided a lower bound of ( log N log log N ) on the tile ...
Gagan Aggarwal, Michael H. Goldwasser, Ming-Yang K...
DLT
2003
13 years 6 months ago
Tile Rewriting Grammars
Past proposals for applying to pictures or 2D languages the generative grammar approach do not match in our opinion the elegance and descriptive adequacy that made Context Free gr...
Stefano Crespi-Reghizzi, Matteo Pradella
CORR
2010
Springer
126views Education» more  CORR 2010»
13 years 2 months ago
Triangular Self-Assembly
We discuss the self-assembly system of triangular tiles instead of square tiles, in particular right triangular tiles and equilateral triangular tiles. We show that the triangular...
Lila Kari, Shinnosuke Seki, Zhi Xu
COMBINATORICS
2004
96views more  COMBINATORICS 2004»
13 years 4 months ago
Conjectured Combinatorial Models for the Hilbert Series of Generalized Diagonal Harmonics Modules
Haglund and Loehr previously conjectured two equivalent combinatorial formulas for the Hilbert series of the Garsia-Haiman diagonal harmonics modules. These formulas involve weigh...
Nicholas A. Loehr, Jeffrey B. Remmel