The class ACC consists of circuit families with constant depth over unbounded fan-in AND, OR, NOT, and MODm gates, where m > 1 is an arbitrary constant. We prove: • NTIME[2n ...
We consider a system of linear constraints over any finite Abelian group G of the following form: i(x1, . . . , xn) ≡ i,1x1 + · · · + i,nxn ∈ Ai for i = 1, . . . , t and e...
—In 1997, H˚astad showed NP-hardness of (1 − , 1/q + δ)-approximating Max-3Lin(Zq); however it was not until 2007 that Guruswami and Raghavendra were able to show NP-hardness...
Let f ∈ Fq[x] be a polynomial of degree d ≤ q/2. It is well-known that f can be uniquely recovered from its values at some 2d points even after some small fraction of the valu...
Reversible structures are computational units that may progress forward and backward. We study weak coherent structures that are primarily inspired by dna circuits and may be comp...
From the phosphorylation state of a molecule to the volume of a cell, parameters are ubiquitous in systems biology. At the same time, most models involve static or dynamic compart...
Abstract. This paper tackles theoretically the question of the structural stability of biological regulation networks subjected to the influence of their environment. The model of...
Abstract. Cloud computing promises a cost effective enabling technology to outsource storage and massively parallel computations. However, existing approaches for provably secure ...
In the last decade, numerous efforts have been devoted to design efficient algorithms for clustering the wireless mobile ad‐hoc networks (MANET) consider...