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IANDC
2007
66views more  IANDC 2007»
13 years 7 months ago
Exponential lower bounds for the number of words of uniform length avoiding a pattern
We study words on a finite alphabet avoiding a finite collection of patterns. Given a pattern p in which every letter that occurs in p occurs at least twice, we show that the nu...
Jason P. Bell, Teow Lim Goh
CCA
2000
Springer
13 years 11 months ago
The Uniformity Conjecture
The Exact Geometric Computing approach requires a zero test for numbers which are built up using standard operations starting with the natural numbers. The uniformity conjecture, ...
Daniel Richardson
SIAMCOMP
2002
95views more  SIAMCOMP 2002»
13 years 7 months ago
Lower Bounds for Lucas Chains
Lucas chains are a special type of addition chains satisfying an extra condition: for the representation ak = aj + ai of each element ak in the chain, the difference aj - ai must a...
Martin Kutz
ESA
2009
Springer
149views Algorithms» more  ESA 2009»
14 years 1 months ago
On the Power of Uniform Power: Capacity of Wireless Networks with Bounded Resources
Abstract. The throughput capacity of arbitrary wireless networks under the physical Signal to Interference Plus Noise Ratio (SINR) model has received a greater deal of attention in...
Chen Avin, Zvi Lotker, Yvonne Anne Pignolet
CORR
2010
Springer
51views Education» more  CORR 2010»
13 years 7 months ago
On ternary square-free circular words
Circular words are cyclically ordered finite sequences of letters. We give a computer-free proof of the following result by Currie: square-free circular words over the ternary alp...
Arseny M. Shur