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COMPGEOM
2001
ACM
15 years 7 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»
15 years 1 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
16 years 4 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»
15 years 8 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»
15 years 7 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