7 search results - page 1 / 2 » Computing the first Betti number and the connected component... |
STOC
2005
ACM
14 years 4 months ago
2005
ACM
In this paper we describe the first singly exponential algorithm for computing the first Betti number of a given semi-algebraic set. We also describe algorithms for obtaining semi...
DCG
2008
13 years 4 months ago
2008
Let S Rk+m be a compact semi-algebraic set defined by P1 0, . . . , P 0, where Pi R[X1, . . . , Xk, Y1, . . . , Ym], and deg(Pi) 2, 1 i . Let denote the standard projection f...
JC
2007
13 years 4 months ago
2007
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 ...
ITICSE
2003
ACM
13 years 10 months ago
2003
ACM
Changing conditions for teaching increase our motivation to understand the teaching and learning process. First time investigators of educational settings often feel uncertain abo...
TCS
2008
13 years 4 months ago
2008
We exemplify an optimization criterion for divide-and-conquer algorithms with a technique called generic competitive graph search. The technique is then applied to solve two probl...