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» On Polynomial Time Computation over Unordered Structures
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COCO
2009
Springer
128views Algorithms» more  COCO 2009»
15 years 9 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»
15 years 9 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»
15 years 8 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»
15 years 6 months 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
15 years 8 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 ...