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SIAMCOMP
2010
174views more  SIAMCOMP 2010»
13 years 7 months ago
On the Complexity of Nash Equilibria and Other Fixed Points
We reexamine what it means to compute Nash equilibria and, more generally, what it means to compute a fixed point of a given Brouwer function, and we investigate the complexity o...
Kousha Etessami, Mihalis Yannakakis
FOCS
1997
IEEE
14 years 25 days ago
Randomized and Deterministic Algorithms for the Dimension of Algebraic Varieties
We prove old and new results on the complexity of computing the dimension of algebraic varieties. In particular, we show that this problem is NP-complete in the Blum-Shub-Smale mo...
Pascal Koiran
ANTS
2004
Springer
109views Algorithms» more  ANTS 2004»
14 years 2 months ago
On the Complexity of Computing Units in a Number Field
Given an algebraic number field K, such that [K : Q] is constant, we show that the problem of computing the units group O∗ K is in the complexity class SPP. As a consequence, w...
Vikraman Arvind, Piyush P. Kurur
ENTCS
2000
97views more  ENTCS 2000»
13 years 8 months ago
Complexity of Weak Bisimilarity and Regularity for BPA and BPP
It is an open problem whether weak bisimilarity is decidable for Basic Process Algebra (BPA) and Basic Parallel Processes (BPP). A PSPACE lower bound for BPA and NP lower bound fo...
Jirí Srba
COMPGEOM
1996
ACM
14 years 23 days ago
Smallest Enclosing Cylinders
This paper addresses the complexity of computing the smallest-radius infinite cylinder that encloses an input set of n points in 3-space. We show that the problem can be solved in...
Elmar Schömer, Jürgen Sellen, Marek Teic...