Minimal NetworksThe Steiner Problem and Its Generalizations
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A01=Alexander O. Ivanov
A01=Alexei A. Tuzhilin
advanced topology
Author_Alexander O. Ivanov
Author_Alexei A. Tuzhilin
Category=PBV
Category=PBW
differential geometry
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
geometric analysis
mathematical optimisation
planar network design
shortest path algorithms in mathematics
surface curvature
Product details
- ISBN 9780849386428
- Weight: 806g
- Dimensions: 156 x 234mm
- Publication Date: 16 Mar 1994
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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.
Alexander O. Ivanov, Alexei A. Tuzhilin
