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» Communication Complexity Lower Bounds by Polynomials
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MFCS
2004
Springer
14 years 1 months ago
Generation Problems
Given a fixed computable binary operation , we study the complexity of the following generation problem: The input consists of strings ½ Ò . The question is whether is in the c...
Elmar Böhler, Christian Glaßer, Bernhar...
CORR
1998
Springer
105views Education» more  CORR 1998»
13 years 7 months ago
Solving Degenerate Sparse Polynomial Systems Faster
Abstract. Consider a system F of n polynomial equations in n unknowns, over an algebraically closed field of arbitrary characteristic. We present a fast method to find a point in...
J. Maurice Rojas
WG
2005
Springer
14 years 1 months ago
Computation of Chromatic Polynomials Using Triangulations and Clique Trees
In this paper, we present a new algorithm for computing the chromatic polynomial of a general graph G. Our method is based on the addition of edges and contraction of non-edges of ...
Pascal Berthomé, Sylvain Lebresne, Kim Nguy...
INFOCOM
2007
IEEE
14 years 2 months ago
Optimal-Complexity Optical Router
—In the past years, electronic routers have had trouble keeping up with the increase in optical fiber capacity. As their power consumption has grown exponentially and already ex...
Hadas Kogan, Isaac Keslassy
ISAAC
2010
Springer
233views Algorithms» more  ISAAC 2010»
13 years 5 months ago
Computing Sparse Multiples of Polynomials
We consider the problem of finding a sparse multiple of a polynomial. Given f F[x] of degree d, and a desired sparsity t, our goal is to determine if there exists a multiple h F[...
Mark Giesbrecht, Daniel S. Roche, Hrushikesh Tilak