Vojtěch Jarnı́k's work in combinatorial optimization

Vojtech Jarni'k's work in combinatorial optimization

Considering Stochastic and Combinatorial Optimization

Here, issues connected with characteristic stochastic practices are considered. In the first part, the plausibility of covering the arrangements of an improvement issue on subjective subgraphs is studied. The impulse for this strategy is a state where an advancement issue must be settled as often as possible for discretionary illustrations. Then, a preprocessing stage is considered that would q...

Combinatorial Optimization in Telecommunications

Combinatorial optimization problems are abundant in the telecommunications industry. In this paper, we present four real-world telecommunications applications where combinatorial optimization plays a major role. The first problem concerns the optimal location of modem pools for an internet service provider. The second problem deals with the optimal routing of permanent virtual circuits for a fr...

Combinatorial optimization in geometry

In this paper we extend and unify the results of [20] and [19]. As a consequence, the results of [20] are generalized from the framework of ideal polyhedra in H to that of singular Euclidean structures on surfaces, possibly with an infinite number of singularities (by contrast, the results of [20] can be viewed as applying to the case of non-singular structures on the disk, with a finite number...

Eigenvalues in Combinatorial Optimization ∗

In the last decade many important applications of eigenvalues and eigenvectors of graphs in combinatorial optimization were discovered. The number and importance of these results is so fascinating that it makes sense to present this survey. ∗This article appeared in Combinatorial and Graph-Theoretical Problems in Linear Algebra, R. A. Brualdi, S. Friedland, V. Klee, Eds., IMA Volumes in Mathema...