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CORR
2010
Springer
66views Education» more  CORR 2010»
14 years 11 months ago
Polyominoes Simulating Arbitrary-Neighborhood Zippers and Tilings
This paper provides a bridge between the classical tiling theory and cellular automata on one side, and the complex neighborhood self-assembling situations that exist in practice,...
Lila Kari, Benoît Masson
PLDI
2004
ACM
15 years 4 months ago
The set constraint/CFL reachability connection in practice
Many program analyses can be reduced to graph reachability problems involving a limited form of context-free language reachability called Dyck-CFL reachability. We show a new redu...
John Kodumal, Alexander Aiken
JCT
2007
97views more  JCT 2007»
14 years 11 months ago
What power of two divides a weighted Catalan number?
Given a sequence of integers b = (b0,b1,b2,...) one gives a Dyck path P of length 2n the weight wt(P) = bh1 bh2 ···bhn , where hi is the height of the ith ascent of P. The corr...
Alexander Postnikov, Bruce E. Sagan
COMBINATORICS
2004
86views more  COMBINATORICS 2004»
14 years 11 months ago
Multiple Pattern Avoidance with respect to Fixed Points and Excedances
We study the distribution of the statistics `number of fixed points' and `number of excedances' in permutations avoiding subsets of patterns of length 3. We solve all th...
Sergi Elizalde
WMTE
2005
IEEE
15 years 5 months ago
SmartTiles: Mobility and Wireless Programmability in Children's Construction and Crafts
This paper presents a working prototype of a mobile, programmable set of construction kit elements for children. SmartTiles are small, lightweight, independently programmable tile...
Nwanua Elumeze, Michael Eisenberg