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COCOON
2003
Springer
15 years 11 months ago
The Complexity of Boolean Matrix Root Computation
Abstract. We show that finding roots of Boolean matrices is an NPhard problem. This answers a twenty year old question from semigroup theory. Interpreting Boolean matrices as dire...
Martin Kutz
FOCS
2000
IEEE
15 years 11 months ago
A polylogarithmic approximation of the minimum bisection
A bisection of a graph with n vertices is a partition of its vertices into two sets, each of size n/2. The bisection cost is the number of edges connecting the two sets. The proble...
Uriel Feige, Robert Krauthgamer
IICS
2010
Springer
15 years 10 months ago
Actors-media-qualities: a Generic Model for Information Retrieval in Virtual Communities
Abstract: The article presents a model of the structural properties of virtual communities and the information they can access. It argues that a large part of the information – a...
Gregor Heinrich
CCCG
2010
15 years 8 months ago
Regular labelings and geometric structures
Three types of geometric structure--grid triangulations, rectangular subdivisions, and orthogonal polyhedra-can each be described combinatorially by a regular labeling: an assignm...
David Eppstein
COMBINATORICS
2000
73views more  COMBINATORICS 2000»
15 years 6 months ago
Note on Gy. Elekes's Conjectures Concerning Unavoidable Patterns in Proper Colorings
A counterexample is presented to Gy. Elekes's conjecture concerning the existence of long 2-colored paths in properly colored graphs. A modified version of the conjecture is ...
Vera Rosta