Vol. 167, No. 2, 1995

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Existence of shortest directed networks in ℝ2

Manuel Alfaro Garcia

Vol. 167 (1995), No. 2, 201–214
Abstract

This paper establishes the existence of a shortest directed network connecting a given set of points. In such networks, up to six segments sometimes meet at a point.

Mathematical Subject Classification 2000
Primary: 52A40
Secondary: 05C35, 52A37
Milestones
Received: 1 January 1991
Revised: 7 March 1993
Published: 1 February 1995
Authors
Manuel Alfaro Garcia