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» Towards Polynomial Lower Bounds for Dynamic Problems
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JC
2007
130views more  JC 2007»
15 years 1 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
DCC
2006
IEEE
16 years 1 months ago
Asymptotic Nonlinearity of Boolean Functions
Boolean functions on the space Fm 2 are not only important in the theory of error-correcting codes, but also in cryptography. In these two cases, the nonlinearity of these functio...
François Rodier
133
Voted
ICALP
2010
Springer
15 years 6 months ago
On the Relation between Polynomial Identity Testing and Finding Variable Disjoint Factors
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
Amir Shpilka, Ilya Volkovich
115
Voted
CPM
2010
Springer
140views Combinatorics» more  CPM 2010»
15 years 6 months ago
Bounds on the Minimum Mosaic of Population Sequences under Recombination
We study the minimum mosaic problem, an optimization problem originated in population genomics. We develop a new lower bound, called the C bound. The C bound is provably higher and...
Yufeng Wu
123
Voted
JCSS
2008
96views more  JCSS 2008»
15 years 1 months ago
A combinatorial characterization of resolution width
We provide a characterization of the resolution width introduced in the context of propositional proof complexity in terms of the existential pebble game introduced in the context...
Albert Atserias, Víctor Dalmau