THE STEINER PROBLEM IN THE PLANE OR IN PLANE MINIMAL NETS

Authors
IVANOV AO TUZHILIN AA
Citation
Ao. Ivanov et Aa. Tuzhilin, THE STEINER PROBLEM IN THE PLANE OR IN PLANE MINIMAL NETS, Mathematics of the USSR. Sbornik, 74(2), 1993, pp. 555-582
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematics of the USSR. Sbornik → ACNP
ISSN journal
00255734
Volume
74
Issue
2
Year of publication
1993
Pages
555 - 582
Database
ISI
SICI code
0025-5734(1993)74:2<555:TSPITP>2.0.ZU;2-Q
Abstract
The famous Steiner problem in the Euclidean plane, which is that of in vestigating minimal nets spanning fixed finite subsets M of points in the plane, is solved when M is extremal, i.e. when M lies on the bound ary of its convex hull, and the nets are nondegenerate, i.e. have no v ertices of degree 2.