Swanepoel, Konrad
(2000)
*On the existence of shortest directed networks.*
Journal of Combinatorial Mathematics and Combinatorial Computing, 33.
pp. 97-102.
ISSN 0835-3026

## Abstract

A digraph connecting a set A to a set B such that there is an a-b path for each a in A and b in B is a directed network. The author proves that for a finitely compact metric space in which geodesics exist, any two finite sets A and B are connected by a shortest directed network. A bound on the Steiner points is also established.

Item Type: | Article |
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Official URL: | http://www.charlesbabbage.org/ |

Additional Information: | © 2000 Charles Babbage Research Centre |

Divisions: | Mathematics |

Subjects: | Q Science > QA Mathematics |

Sets: | Departments > Mathematics |

Date Deposited: | 16 Oct 2009 09:34 |

Last Modified: | 12 Jul 2019 23:03 |

URI: | http://eprints.lse.ac.uk/id/eprint/25467 |

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