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...
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, ...
Generic libraries, such as the C++ Standard Template Library (STL), provide flexible, high-performance algorithms and data types, along with functional specifications and performa...
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...
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...