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COCO
1993
Springer
133views Algorithms» more  COCO 1993»
14 years 2 months ago
On Span Programs
We introduce a linear algebraic model of computation, the Span Program, and prove several upper and lower bounds on it. These results yield the following applications in complexit...
Mauricio Karchmer, Avi Wigderson
ICALP
2009
Springer
14 years 10 months ago
Limits and Applications of Group Algebras for Parameterized Problems
The algebraic framework introduced in [Koutis, Proc. of the 35th ICALP 2008] reduces several combinatorial problems in parameterized complexity to the problem of detecting multili...
Ioannis Koutis, Ryan Williams
CDC
2008
IEEE
129views Control Systems» more  CDC 2008»
14 years 4 months ago
On the structure of graph edge designs that optimize the algebraic connectivity
— We take a structural approach to the problem of designing the edge weights in an undirected graph subject to an upper bound on their total, so as to maximize the algebraic conn...
Yan Wan, Sandip Roy, Xu Wang, Ali Saberi, Tao Yang...
ICMS
2010
13 years 8 months ago
The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra
There is a growing interest in numeric-algebraic techniques in the computer algebra community as such techniques can speed up many applications. This paper is concerned with one su...
Jihun Yu, Chee Yap, Zilin Du, Sylvain Pion, Herv&e...
CRYPTO
2006
Springer
125views Cryptology» more  CRYPTO 2006»
14 years 1 months ago
On the Higher Order Nonlinearities of Algebraic Immune Functions
Abstract. One of the most basic requirements concerning Boolean functions used in cryptosystems is that they must have high algebraic degrees. This simple criterion is not always w...
Claude Carlet