Marek Karpinski, Alexander Zelikovsky

The Steiner tree problem asks for the shortest tree connecting

a given set of terminal points in a metric space. We design

new approximation algorithms for the Steiner tree problems

using a novel technique of choosing Steiner points in dependence

on the possible deviation from ...
more >>>

Marek Karpinski, Juergen Wirtgen, Alexander Zelikovsky

The bandwidth problem is the problem of numbering the vertices of a

given graph $G$ such that the maximum difference between the numbers

of adjacent vertices is minimal. The problem has a long history and

is known to be NP-complete Papadimitriou [Pa76]. Only few special

cases ...
more >>>

Marek Karpinski, Juergen Wirtgen

The bandwidth problem is the problem of enumerating

the vertices of a given graph $G$ such that the maximum

difference between the numbers of

adjacent vertices is minimal. The problem has a long

history and a number of applications

and is ...
more >>>

Gunter Blache, Marek Karpinski, Juergen Wirtgen

The bandwidth problem is the problem of enumerating

the vertices of a given graph $G$ such that the maximum difference

between the numbers of adjacent vertices is minimal. The problem

has a long history and a number of applications.

There was not ...
more >>>

Piotr Berman, Marek Karpinski

We consider the following optimization problem:

given a system of m linear equations in n variables over a certain field,

a feasible solution is any assignment of values to the variables, and the

minimized objective function is the number of equations that are not

satisfied. For ...
more >>>