Branching Solutions to One-Dimensional Variational Problems

This book deals with the new class of one-dimensional variational problems -- the problems with branching solutions. Instead of extreme curves (mappings of a segment to a manifold) we investigate extreme networks, which are mappings of graphs (one-dimensional cell complexes) to a manifold. Various applications of the approach are presented, such as several generalizations of the famous Steiner problem of finding the shortest network spanning given points of the plane.A. A. Tuzhilin is the author of 'Branching Solutions to One-Dimensional Variational Problems' with ISBN 9789810240608 and ISBN 9810240600.