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.
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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.
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Add this copy of Branching Solutions to One-Dimensional Variational to cart. $14.25, very good condition, Sold by Suffolk Books rated 5.0 out of 5 stars, ships from center moriches, NY, UNITED STATES, published 2001 by World Scientific Publishing Comp.
Add this copy of Branching Solutions to One-Dimensional Variational to cart. $102.46, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2001 by World Scientific Publishing Co.