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COCO
1993
Springer
133views Algorithms» more  COCO 1993»
15 years 1 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
JC
2007
130views more  JC 2007»
14 years 9 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
DM
2010
79views more  DM 2010»
14 years 9 months ago
Algebraic connectivity for vertex-deleted subgraphs, and a notion of vertex centrality
Let G be a connected graph, suppose that v is a vertex of G, and denote the subgraph formed from G by deleting vertex v by G \ v. Denote the algebraic connectivities of G and G \ ...
Steve Kirkland
APPML
2006
73views more  APPML 2006»
14 years 9 months ago
Threshold arrangements and the knapsack problem
We show that a combinatorial question which has been studied in connection with lower bounds for the knapsack problem by Brimkov and Dantchev (2001) is related to threshold graphs...
Günter Rote, André Schulz
CIE
2006
Springer
15 years 1 months ago
Forcing with Random Variables and Proof Complexity
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
Jan Krajícek