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» Lower bounds for Buchsbaum* complexes
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IPL
2000
98views more  IPL 2000»
14 years 9 months ago
Linear complexity of the Naor-Reingold pseudo-random function
We obtain an exponential lower bound on the non-linear complexity of the new pseudo-random function, introduced recently by M. Naor and O. Reingold. This bound is an extension of t...
Igor Shparlinski
ECCC
2002
103views more  ECCC 2002»
14 years 9 months ago
Monotone complexity and the rank of matrices
We shall give simpler proofs of some lower bounds on monotone computations. We describe a simple condition on combinatorial structures, such that the rank of the matrix associated...
Pavel Pudlák
IPL
2002
118views more  IPL 2002»
14 years 9 months ago
Lower bounds for approximate polygon decomposition and minimum gap
We consider the problem of decomposing polygons (with holes) into various types of simpler polygons. We focus on the problem of partitioning a rectilinear polygon, with holes, int...
Joachim Gudmundsson, Thore Husfeldt, Christos Levc...
DLT
2009
14 years 7 months ago
Tight Bounds on the Descriptional Complexity of Regular Expressions
Abstract. We improve on some recent results on lower bounds for conversion problems for regular expressions. In particular we consider the conversion of planar deterministic finite...
Hermann Gruber, Markus Holzer
CORR
2010
Springer
158views Education» more  CORR 2010»
14 years 9 months ago
Unifying the Landscape of Cell-Probe Lower Bounds
We show that a large fraction of the data-structure lower bounds known today in fact follow by reduction from the communication complexity of lopsided (asymmetric) set disjointness...
Mihai Patrascu