Publication detail

Geometric Structures for Solving Network Optimisation Problems

ŠEDA, M.

Czech title

Geometrické struktury pro řešení úloh síťové optimalizace

English title

Geometric Structures for Solving Network Optimisation Problems

Type

conference paper

Language

en

Original abstract

This paper deals with fundamental structures of computational geometry, the Voronoi diagram, and its geometric dual, the Delaunay triangulation. They arise naturally in various branches of science. This paper surveys their basic properties and possible use for solving selected network optimisation problems.

Czech abstract

Příspěvek se zabývá základními strukturami počítačové geometrie Voronoiovým diagramem a jeho geometrickým duálním útvarem Delaunayho triangulací. Obě struktury mají aplikace v mnoha odvětvích vědy. Příspěvek shrnuje základní vlastnosti a možné použití pro řešení vybraných problémů síťové optimalizace.

English abstract

This paper deals with fundamental structures of computational geometry, the Voronoi diagram, and its geometric dual, the Delaunay triangulation. They arise naturally in various branches of science. This paper surveys their basic properties and possible use for solving selected network optimisation problems.

Keywords in English

Voronoi diagram, Delaunay triangulation, spanning tree, Steiner tree

RIV year

2005

Released

24.05.2005

Publisher

University of Miskolc

Location

Miskolc-Lillafüred (Hungary)

ISBN

963-661-645-0

Book

Proceedings of the 6th International Carpathian Control Conference ICCC ’2005

Pages count

6

BIBTEX


@inproceedings{BUT15918,
  author="Miloš {Šeda},
  title="Geometric Structures for Solving Network Optimisation Problems",
  booktitle="Proceedings of the 6th International Carpathian Control Conference ICCC ’2005",
  year="2005",
  month="May",
  publisher="University of Miskolc",
  address="Miskolc-Lillafüred (Hungary)",
  isbn="963-661-645-0"
}