Minimal NetworksThe Steiner Problem and Its Generalizations

1st Edition

Alexander O. Ivanov, Alexei A. Tuzhilin

CRC Press
Published March 16, 1994
Reference - 432 Pages
ISBN 9780849386428 - CAT# 8642

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Summary

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" branching threads of minimal length. This theory demonstrates a brilliant interconnection among differential and computational geometry, topology, variational calculus, and graph theory. All necessary preliminary information is included, and the book's simplified format and nearly 150 illustrations and tables will help readers develop a concrete understanding of the material. All nontrivial statements are proved, and plenty of exercises are included.

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