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COMPGEOM
2001
ACM
14 years 1 months ago
Hierarchical morse complexes for piecewise linear 2-manifolds
We present algorithms for constructing a hierarchy of increasingly coarse Morse complexes that decompose a piecewise linear 2-manifold. While Morse complexes are defined only in t...
Herbert Edelsbrunner, John Harer, Afra Zomorodian
ECCC
2010
95views more  ECCC 2010»
13 years 7 months ago
On optimal heuristic randomized semidecision procedures, with applications to proof complexity and cryptography
The existence of a (p-)optimal propositional proof system is a major open question in (proof) complexity; many people conjecture that such systems do not exist. Kraj
Edward A. Hirsch, Dmitry Itsykson, Ivan Monakhov, ...
ICFP
2006
ACM
14 years 10 months ago
Towards an automatic complexity analysis for generic programs
Generic libraries, such as the C++ Standard Template Library (STL), provide flexible, high-performance algorithms and data types, along with functional specifications and performa...
Kyle D. Ross
STOC
1999
ACM
176views Algorithms» more  STOC 1999»
14 years 2 months ago
On the Complexity of Computing Short Linearly Independent Vectors and Short Bases in a Lattice
Motivated by Ajtai’s worst-case to average-case reduction for lattice problems, we study the complexity of computing short linearly independent vectors (short basis) in a lattic...
Johannes Blömer, Jean-Pierre Seifert
COCO
1995
Springer
134views Algorithms» more  COCO 1995»
14 years 1 months ago
Towards Average-Case Complexity Analysis of NP Optimization Problems
For the worst-case complexity measure, if P = NP, then P = OptP, i.e., all NP optimization problems are polynomial-time solvable. On the other hand, it is not clear whether a simi...
Rainer Schuler, Osamu Watanabe