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 ...
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Wolfgang Slany

We consider combinatorial avoidance and achievement games

based on graph Ramsey theory: The players take turns in coloring

still uncolored edges of a graph G, each player being assigned a

distinct color, choosing one edge per move. In avoidance games,

completing a monochromatic subgraph isomorphic to ...
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Alexander Kulikov, Nikita Slezkin

Finding exact circuit size is a notorious optimization problem in practice. Whereas modern computers and algorithmic techniques allow to find a circuit of size seven in blink of an eye, it may take more than a week to search for a circuit of size thirteen. One of the reasons of ... more >>>