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ICALP
2003
Springer
14 years 1 months ago
A Direct Sum Theorem in Communication Complexity via Message Compression
We prove lower bounds for the direct sum problem for two-party bounded error randomised multipleround communication protocols. Our proofs use the notion of information cost of a p...
Rahul Jain, Jaikumar Radhakrishnan, Pranab Sen
CCCG
2009
13 years 9 months ago
On Graph Thickness, Geometric Thickness, and Separator Theorems
We investigate the relationship between geometric thickness and the thickness, outerthickness, and arboricity of graphs. In particular, we prove that all graphs with arboricity tw...
Christian A. Duncan
ECCC
2006
93views more  ECCC 2006»
13 years 7 months ago
On the Deduction Theorem and Complete Disjoint NP-Pairs
In this paper we ask the question whether the extended Frege proof system EF satisfies a weak version of the deduction theorem. We prove that if this is the case, then complete dis...
Olaf Beyersdorff
COMBINATORICS
2004
48views more  COMBINATORICS 2004»
13 years 7 months ago
Partition Identities I: Sandwich Theorems and Logical 0-1 Laws
The Sandwich Theorems proved in this paper give a new method to show that the partition function a(n) of a partition identity A(x) := n=0 a(n)xn = n=1 (1 - xn )-p(n) satisfies t...
Jason P. Bell, Stanley Burris
COMBINATORICS
2000
78views more  COMBINATORICS 2000»
13 years 7 months ago
Two New Extensions of the Hales-Jewett Theorem
: We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial version of a finitary case of Furstenberg and Katznelson's multiparameter elaboration...
Randall McCutcheon