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CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 10 months ago
Factoring Polynomials over Finite Fields using Balance Test
We study the problem of factoring univariate polynomials over finite fields. Under the assumption of the Extended Riemann Hypothesis (ERH), Gao [Gao01] designed a polynomial time ...
Chandan Saha
EOR
2008
69views more  EOR 2008»
13 years 10 months ago
On the complexity of optimization over the standard simplex
We review complexity results for minimizing polynomials over the standard simplex and unit hypercube. In addition, we derive new results on the computational complexity of approxi...
E. de Klerk, Dick den Hertog, G. Elabwabi
ENDM
2010
122views more  ENDM 2010»
13 years 10 months ago
Complexity dichotomy on degree-constrained VLSI layouts with unit-length edges
Deciding whether an arbitrary graph admits a VLSI layout with unit-length edges is NP-complete [1], even when restricted to binary trees [7]. However, for certain graphs, the prob...
Vinícius G. P. de Sá, Celina M. Herr...
STOC
2003
ACM
95views Algorithms» more  STOC 2003»
14 years 10 months ago
Random knapsack in expected polynomial time
In this paper, we present the first average-case analysis proving an expected polynomial running time for an exact algorithm for the 0/1 knapsack problem. In particular, we prove,...
René Beier, Berthold Vöcking
FOCS
2008
IEEE
14 years 4 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...