This book focuses on the classic Steiner Problem and illustrates how results of the problem's
development have generated the Theory of Minimal Networks, that is systems of" rubber" …

New natural geometric characteristics are introduced for planar linear trees: the boundary
set and the twist number. It turns out that the number of convexity levels of the boundary set …

AO Ivanov, “The geometry of plane locally minimal binary trees”, Mat. Sb., 186:9 (1995), 45–76;
Sb. Math., 186:9 (1995), 1271–1301 Sbornik: Mathematics RUS ENG JOURNALS PEOPLE …

In this paper we study the structure of the set of all locally minimal plane networks with a
fixed topology and a fixed boundary. It is shown that if this set is non-empty, then it is a …

This paper is supposed to be a review on the new branch of mathematics–extreme networks
theory that appeared at the crossroad of differential geometry, variational calculus and …

Locally minimal binary trees that span the vertices of regular polygons are studied. Their
description is given in the dual language, that of diagonal triangulations of polygons …

Minimal binary trees with regular boundary: the case of sceletons with four ends Page 1 Sbornik:
Mathematics Minimal binary trees with regular boundary: the case of sceletons with four ends …

В настоящей работе изучается структура множества Ж G (^) всех плоских ло кально
минимальных сетей с фиксированными топологией G и границей (р. Пока зано, что …

Geometry and topology of local minimal 2-trees Page 1 Nova S~rie BOLETIM DA SOCIEDADE
BRASILEIRA DE MATEM,TICA Bol. Soc. Bras. Mat., Vol. 28, ~ 1, 103-139 Q 1997, Sociedade …

Рассматриваются одномерные разветвлённые экстремали функционалов лагранжева
типа. Такие экстремали возникают как решения классической проблемы Штейнера о …