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Optimal Networks

This mini-course was given in the First Yaroslavl Summer School on Discrete and Computational Geometry in August 2012, organized by International Delaunay Laboratory "Discrete and Computational Geometry" of Demidov Yaroslavl State University. The aim of this mini-course is to give an introduction in Optimal Networks theory. Optimal networks appear as solutions of the following natural problem: How to connect a finite set of points in a metric space in an optimal way? We cover three most natural types of optimal connection: spanning trees connection without additional road forks, shortest trees and locally shortest trees, and minimal fillings.

preprint2012arXivOpen access
A. O. IvanovA. A. Tuzhilin
math.MG
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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A. O. IvanovA. A. Tuzhilin

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