Encyclopedia of Algorithms

2016 Edition
| Editors: Ming-Yang Kao

Minimum k-Connected Geometric Networks

  • Artur Czumaj
  • Andrzej Lingas
Reference work entry
DOI: https://doi.org/10.1007/978-1-4939-2864-4_237

Synonyms

Euclideangraphs;Geometric graphs

Years and Authors of Summarized Original Work

  • 2000; Czumaj, Lingas

Problem Definition

The following classical optimization problem is considered: for a given undirected weighted geometric network, find its minimum-cost subnetwork that satisfies a priori given multi-connectivity requirements. This problem restricted to geometric networks is considered in this entry.

Notations

Let G = (V, E) be a geometric network, whose vertex set V corresponds to a set of n points in \(\mathbb{R}^{d}\)

Keywords

Geometric networks Geometric optimization k-connectivity Network design Survivable network design 
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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of Computer Science, Centre for Discrete Mathematics and Its ApplicationsUniversity of WarwickCoventryUK
  2. 2.Department of Computer ScienceLund UniversityLundSweden