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» Towards Polynomial Lower Bounds for Dynamic Problems
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JC
2007
130views more  JC 2007»
13 years 7 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
14 years 7 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
ICALP
2010
Springer
14 years 10 days 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
CPM
2010
Springer
140views Combinatorics» more  CPM 2010»
14 years 11 days 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
JCSS
2008
96views more  JCSS 2008»
13 years 7 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