Bifurcations of binary types of Steiner minimal networks in the plane

E. I. Stepanova

Lomonosov Moscow State University, Moscow, Russia

Abstract: This paper is a continuation of the paper “Bifurcations of Steiner tree topologies in the plane,” where topologies of Steiner networks of a fixed binary type are considered. Here bifurcation diagrams of binary types of Steiner minimal networks for four boundary points are constructed and some properties of such diagrams for any number of points are discussed.

UDC: 514.77+519.176+515.165.7

 English version: Journal of Mathematical Sciences (New York), 2021, 259:5, 730–747