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Selected Open Problems in Discrete Geometry and Optimization

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Discrete Geometry and Optimization

Part of the book series: Fields Institute Communications ((FIC,volume 69))

Abstract

A list of questions and problems posed and discussed in September 2011 at the following consecutive events held at the Fields Institute, Toronto: Workshop on Discrete Geometry, Conference on Discrete Geometry and Optimization, and Workshop on Optimization. We hope these questions and problems will contribute to further stimulate the interaction between geometers and optimizers.

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Notes

  1. 1.

    A localization instance is said to be universally rigid if it has a unique (up to congruences) localization in any Euclidean space.

  2. 2.

    A localization instance is said to be globally rigid in \({\mathbb{R}}^{d}\) if it has a unique (up to congruences) localization in \({\mathbb{R}}^{d}\).

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Center for Computational and Discrete Geometry, University of Calgary, 612 Campus Place N.W., 2500 University Drive NW, Calgary, AB, Canada, T2N 1N4

    Károly Bezdek

  2. Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, 1280 Main Street West, Hamilton, ON, Canada, L8S 4K1

    Antoine Deza

  3. Department of Management Science and Engineering, Huang Engineering Center 308, School of Engineering, Stanford University, Stanford, 475 Via Ortega, CA, 94305, USA

    Yinyu Ye

Authors
  1. Károly Bezdek
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  2. Antoine Deza
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  3. Yinyu Ye
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Correspondence to Antoine Deza .

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Editors and Affiliations

  1. , Mathematics & Statistics, University of Calgary, University Drive NW, Calgary, T2N 1N4, Alberta, Canada

    Karoly Bezdek

  2. , Department of Computing, McMaster University, Main Street West 1280, Hamilton, L8S 4K1, Ontario, Canada

    Antoine Deza

  3. School of Engineering, Department of Management Science and Eng, Stanford University, Via Ortega 475, Stanford, 94305, California, USA

    Yinyu Ye

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Bezdek, K., Deza, A., Ye, Y. (2013). Selected Open Problems in Discrete Geometry and Optimization. In: Bezdek, K., Deza, A., Ye, Y. (eds) Discrete Geometry and Optimization. Fields Institute Communications, vol 69. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00200-2_18

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