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MFCS
2004
Springer
15 years 11 months ago
Scaled Dimension and the Kolmogorov Complexity of Turing-Hard Sets
We study constructive and resource-bounded scaled dimension as an information content measure and obtain several results that parallel previous work on unscaled dimension. Scaled ...
John M. Hitchcock, María López-Vald&...
COCO
2009
Springer
124views Algorithms» more  COCO 2009»
16 years 1 months ago
The Maximum Communication Complexity of Multi-Party Pointer Jumping
—We study the one-way number-on-the-forhead (NOF) communication complexity of the k-layer pointer jumping problem. Strong lower bounds for this problem would have important impli...
Joshua Brody
MFCS
2005
Springer
15 years 12 months ago
Complexity of DNF and Isomorphism of Monotone Formulas
We investigate the complexity of finding prime implicants and minimal equivalent DNFs for Boolean formulas, and of testing equivalence and isomorphism of monotone formulas. For DN...
Judy Goldsmith, Matthias Hagen, Martin Mundhenk
WABI
2001
Springer
124views Bioinformatics» more  WABI 2001»
15 years 11 months ago
Computing Linking Numbers of a Filtration
We develop fast algorithms for computing the linking number of a simplicial complex within a filtration. We give experimental results in applying our work toward the detection of...
Herbert Edelsbrunner, Afra Zomorodian
COCO
2009
Springer
106views Algorithms» more  COCO 2009»
16 years 1 months ago
Increasing the Gap between Descriptional Complexity and Algorithmic Probability
The coding theorem is a fundamental result of algorithmic information theory. A well known theorem of G´acs shows that the analog of the coding theorem fails for continuous sample...
Adam R. Day