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» The complexity of random ordered structures
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ISAAC
2010
Springer
266views Algorithms» more  ISAAC 2010»
13 years 3 months ago
Structural and Complexity Aspects of Line Systems of Graphs
We study line systems in metric spaces induced by graphs. A line is a subset of vertices defined by a relation of betweeness. We show that the class of all graphs having exactly k ...
Jozef Jirásek, Pavel Klavík
JSYML
2006
86views more  JSYML 2006»
13 years 5 months ago
Degrees of monotone complexity
Levin and Schnorr (independently) introduced the monotone complexity, Km(), of a binary string . We use monotone complexity to define the relative complexity (or relative randomnes...
William C. Calhoun
CORR
2012
Springer
222views Education» more  CORR 2012»
12 years 1 months ago
A limit process for partial match queries in random quadtrees
We consider the problem of recovering items matching a partially specified pattern in multidimensional trees (quad trees and k-d trees). We assume the classical model where the d...
Nicolas Broutin, Ralph Neininger, Henning Sulzbach
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 5 months ago
Automatic Structures: Richness and Limitations
We study the existence of automatic presentations for various algebraic structures. An automatic presentation of a structure is a description of the universe of the structure by a...
Bakhadyr Khoussainov, André Nies, Sasha Rub...
CSL
2010
Springer
13 years 6 months ago
The Complexity of Positive First-Order Logic without Equality II: The Four-Element Case
We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over fixed, finite structures B. This may be seen as a natural generalisation of th...
Barnaby Martin, Jos Martin