This article is cited in 5 papers

The length of a minimal filling of star type

B. B. Bednov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The length of a minimal filling of star type for an arbitrary finite metric space is expressed as a function of the distances between points of this space.
Bibliography: 9 titles.

Keywords: Banach space, shortest network, minimal filling, Steiner point.

UDC: 517.982.256+515.124.4

MSC: Primary 05C35; Secondary 05C05, 05C12, 54E35

Received: 25.05.2015 and 30.03.2016

DOI: 10.4213/sm8546

 English version: Sbornik: Mathematics, 2016, 207:8, 1064–1078

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