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» Improved upper bounds on the crossing number
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JAPLL
2010
133views more  JAPLL 2010»
13 years 5 months ago
Complexity of modal logics with Presburger constraints
We introduce the extended modal logic EML with regularity constraints and full Presburger constraints on the number of children that generalize graded modalities, also known as nu...
Stéphane Demri, Denis Lugiez
CRYPTO
2006
Springer
92views Cryptology» more  CRYPTO 2006»
13 years 11 months ago
Rigorous Bounds on Cryptanalytic Time/Memory Tradeoffs
In this paper we formalize a general model of cryptanalytic time/memory tradeoffs for the inversion of a random function f : {0, 1, . . . , N - 1} {0, 1, . . . , N - 1}. The model...
Elad Barkan, Eli Biham, Adi Shamir
ESA
2010
Springer
172views Algorithms» more  ESA 2010»
13 years 8 months ago
Algorithmic Meta-theorems for Restrictions of Treewidth
Abstract. Possibly the most famous algorithmic meta-theorem is Courcelle's theorem, which states that all MSO-expressible graph properties are decidable in linear time for gra...
Michael Lampis
ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
13 years 7 months ago
Automated Generation of Search Tree Algorithms for Hard Graph Modification Problems
We present a framework for an automated generation of exact search tree algorithms for NP-hard problems. The purpose of our approach is two-fold--rapid development and improved up...
Jens Gramm, Jiong Guo, Falk Hüffner, Rolf Nie...
COMPGEOM
2009
ACM
14 years 2 days ago
k-means requires exponentially many iterations even in the plane
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
Andrea Vattani