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» On Polynomial Time Computation over Unordered Structures
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COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 3 months ago
An Almost Optimal Rank Bound for Depth-3 Identities
—We show that the rank of a depth-3 circuit (over any field) that is simple, minimal and zero is at most O(k3 log d). The previous best rank bound known was 2O(k2 ) (log d)k−2...
Nitin Saxena, C. Seshadhri
FCCM
2006
IEEE
195views VLSI» more  FCCM 2006»
14 years 3 months ago
A Parallel Hardware Architecture for fast Gaussian Elimination over GF(2)
This paper presents a hardware-optimized variant of the well-known Gaussian elimination over GF(2) and its highly efficient implementation. The proposed hardware architecture, we...
Andrey Bogdanov, M. C. Mertens
ESA
2004
Springer
129views Algorithms» more  ESA 2004»
14 years 2 months ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...
STOC
2000
ACM
137views Algorithms» more  STOC 2000»
14 years 15 days ago
On the complexity of verifiable secret sharing and multiparty computation
We first study the problem of doing Verifiable Secret Sharing (VSS) information theoretically secure for a general access structure. We do it in the model where private channels b...
Ronald Cramer, Ivan Damgård, Stefan Dziembow...
WG
2005
Springer
14 years 2 months ago
Hypertree Decompositions: Structure, Algorithms, and Applications
We review the concepts of hypertree decomposition and hypertree width from a graph theoretical perspective and report on a number of recent results related to these concepts. We al...
Georg Gottlob, Martin Grohe, Nysret Musliu, Marko ...