The Maximum Distance Problem and Minimum Spanning Trees

Given a compact E⊂R<sup>n</sup> and s&gt;0, the maximum distance problem seeks a compact and connected subset of R<sup>n</sup> of smallest one dimensional Hausdorff measure whose s-neighborhood covers E. For E⊂R<sup>2</sup>, we prove that minimizing over minim...

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Bibliographic Details
Main Authors: Enrique G. Alvarado, Bala Krishnamoorthy, Kevin R. Vixie
Format: Article
Language:English
Published: Etamaths Publishing 2021-08-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/2360