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» A General Polynomial Sieve
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DCC
2007
IEEE
14 years 8 months ago
Planar polynomials for commutative semifields with specified nuclei
We consider the implications of the equivalence of commutative semifields of odd order and planar Dembowski-Ostrom polynomials. This equivalence was outlined recently by Coulter an...
Robert S. Coulter, Marie Henderson, Pamela Kosick
FOCS
2008
IEEE
14 years 3 months ago
Computing the Tutte Polynomial in Vertex-Exponential Time
The deletion–contraction algorithm is perhaps the most popular method for computing a host of fundamental graph invariants such as the chromatic, flow, and reliability polynomi...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
MFCS
2005
Springer
14 years 2 months ago
Coloring Sparse Random k-Colorable Graphs in Polynomial Expected Time
Abstract. Feige and Kilian [5] showed that finding reasonable approximative solutions to the coloring problem on graphs is hard. This motivates the quest for algorithms that eithe...
Julia Böttcher
JUCS
2007
88views more  JUCS 2007»
13 years 8 months ago
A Comparison of Various Methods for Computing Bounds for Positive Roots of Polynomials
Abstract: The recent interest in isolating real roots of polynomials has revived interest in computing sharp upper bounds on the values of the positive roots of polynomials. Until ...
Alkiviadis G. Akritas, Panagiotis S. Vigklas
MP
2010
172views more  MP 2010»
13 years 7 months ago
Approximation algorithms for homogeneous polynomial optimization with quadratic constraints
In this paper, we consider approximation algorithms for optimizing a generic multi-variate homogeneous polynomial function, subject to homogeneous quadratic constraints. Such opti...
Simai He, Zhening Li, Shuzhong Zhang