Fermat–Steiner problem in the metric space of compact sets endowed with Hausdorff distance (original) (raw)

Existence and regularity results for the Steiner problem

Eugene Stepanov

Calculus of Variations and Partial Differential Equations, 2013

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A Self-Similar Infinite Binary Tree Is a Solution to the Steiner Problem

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Chantel Blackburn

2005

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Insight into the computation of Steiner minimal trees in Euclidean space of general dimension

Marcia Fampa

Discrete Applied Mathematics

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Inverse maximal distance minimizer problem in a finite setup

Yana Teplitskaya

Cornell University - arXiv, 2022

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Steiner Trees and Convex Geometries

Ortrud Oellermann

SIAM Journal on Discrete Mathematics, 2009

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An improved algorithm for computing Steiner minimal trees in Euclidean d-space

Marcia Fampa

2008

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The Steiner problem on the regular tetrahedron

Denise Halverson

Involve, a Journal of Mathematics, 2011

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An improved algorithm for computing Steiner minimal trees in Euclidean -space

Marcia Fampa

Discrete Optimization, 2008

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An overview of maximal distance minimizers problem

Yana Teplitskaya

arXiv (Cornell University), 2022

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On the horseshoe conjecture for maximal distance minimizers

Yana Teplitskaya

arXiv (Cornell University), 2015

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Approximating the minimum weight spanning tree of a set of points in the Hausdorff metric

Victor Raul Palomino Alvarez

Computational Geometry, 2010

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Geodetic and Steiner geodetic sets in 3-Steiner distance hereditary graphs

Linda Eroh, Ortrud Oellermann

Discrete Mathematics, 2008

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Steiner distance and convexity in graphs

alberto marquez

European Journal of Combinatorics, 2008

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Some Low Distortion Metric Ramsey Problems

Yair Bartal

Discrete & Computational Geometry, 2005

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On optimal disc covers and a new characterization of the Steiner center

Alfred Bruckstein

Computational Geometry, 2016

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Spanning Trees in Hypergraphs with Applications to Steiner Trees

James Cohoon

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Covering Metric Spaces by Few Trees

Yair Bartal

2019

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Advances in Metric Ramsey Theory and its Applications

Yair Bartal

arXiv (Cornell University), 2021

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Canonical Forms and Algorithms for Steiner Trees in Uniform Orientation Metrics

Martin Zachariasen

Algorithmica, 2006

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A note on 3-Steiner intervals and betweenness

Aleksandra Tepeh, Prasanth G.Narasimha-Shenoi

Discrete …, 2011

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Local search for the Steiner tree problem in the Euclidean plane

Martin Zachariasen

European Journal of Operational Research, 1999

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Some Compact Classes of Open Sets under Hausdorff Distance and Application to Shape Optimization

Bao-zhu Guo

SIAM Journal on Control and Optimization, 2012

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Steiner distance in graphs

Ortrud Oellermann

Časopis pro pěstování matematiky, 1989

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Sparse Distance Sets in the Triangular Lattice

Tanbir Ahmed

The Electronic Journal of Combinatorics, 2013

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Approximation of Length Minimization Problems Among Compact Connected Sets

Matthieu Bonnivard

Siam Journal on Mathematical Analysis, 2015

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On the number of minimal 1-Steiner trees

Marshall Bern

Discrete and Computational Geometry, 1994

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Some Results on Metric Trees

timur oikhberg

2010

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Steiner intervals and Steiner geodetic numbers in distance-hereditary graphs

Ortrud Oellermann

Discrete Mathematics, 2007

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Getting around a lower bound for the minimum Hausdorff distance

Klara Kedem

Computational Geometry: Theory and Applications, 1998

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On Best Proximity Points In b-Metric Space

Reny George

Journal of Nonlinear Analysis and Application, 2015

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On sets minimizing their weighted length in uniformly convex separable Banach spaces

Vincent Millot

Advances in Mathematics, 2017

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On the Metric Structure of Hyperspaces with HAUSDORFF Metric

Christoph Bandt

Mathematische Nachrichten, 1986

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Explicit Ramsey graphs and Erdos distance problem over finite Euclidean and non-Euclidean spaces

Le Vinh

The Electronic Journal of Combinatorics, 2007

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