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A Distance Matrix Completion Approach to 1-Round Algorithms for Point Placement in the Plane

  • Md. Zamilur Rahman
  • Asish MukhopadhyayEmail author
  • Yash Pal Aneja
  • Cory Jean
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10405)

Abstract

In this paper we propose a 1-round algorithm for point placement in the plane in an adversarial model. The distance query graph presented to the adversary is chordal. The remaining distances are uniquely determined using a distance matrix completion algorithm for chordal graphs, based on a result by Bakonyi and Johnson [4].

Keywords

Distance geometry Point placement Distance matrix completion Embed algorithm Eigenvalue decomposition 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Md. Zamilur Rahman
    • 1
  • Asish Mukhopadhyay
    • 1
    Email author
  • Yash Pal Aneja
    • 2
  • Cory Jean
    • 1
  1. 1.School of Computer ScienceUniversity of WindsorWindsorCanada
  2. 2.Odette School of BusinessUniversity of WindsorWindsorCanada

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