CORR
2008
Springer
13 years 6 months ago
2008
Springer
We develop a method for measuring homology classes. This involves three problems. First, we define the size of a homology class, using ideas from relative homology. Second, we defi...
CORR
2008
Springer
13 years 6 months ago
2008
Springer
We consider the problem of constructing bounded-degree planar geometric spanners of Euclidean and unit-disk graphs. It is well known that the Delaunay subgraph is a planar geometri...
CORR
2008
Springer
13 years 6 months ago
2008
Springer
In 2003, Leonid A. Levin presented the idea of a combinatorial complete one-way function and a sketch of the proof that Tiling represents such a function. In this paper, we presen...
CORR
2008
Springer
13 years 6 months ago
2008
Springer
We investigate the relation between the theory of the iterations in the sense of Shelah-Stupp and of Muchnik, resp., and the theory of the base structure for several logics. These ...
CORR
2008
Springer
13 years 6 months ago
2008
Springer
Suppose we are given a finite set of points P in R3 and a collection of polytopes T that are all translates of the same polytope T. We consider two problems in this paper. The firs...
CORR
2008
Springer
13 years 6 months ago
2008
Springer
CORR
2008
Springer
13 years 6 months ago
2008
Springer
Linearity tests are randomized algorithms which have oracle access to the truth table of some function f, and are supposed to distinguish between linear functions and functions whi...
CORR
2008
Springer
13 years 6 months ago
2008
Springer
Abstract. Monotone systems of polynomial equations (MSPEs) are systems of fixedpoint equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomia...
CORR
2008
Springer
13 years 6 months ago
2008
Springer
Abstract. We consider the minimum spanning tree problem in a setting where information about the edge weights of the given graph is uncertain. Initially, for each edge e of the gra...
CORR
2008
Springer
13 years 6 months ago
2008
Springer