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An Approach to Dynamical Distance Geometry

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10589)

Abstract

We introduce the dynamical distance geometry problem (dynDGP), where vertices of a given simple weighted undirected graph are to be embedded at different times t. Solutions to the dynDGP can be seen as motions of a given set of objects. In this work, we focus our attention on a class of instances where motion inter-frame distances are not available, and reduce the problem of embedding every motion frame as a static distance geometry problem. Some preliminary computational experiments are presented.

Notes

Acknowledgments

This work was partially supported by an INS2I-CNRS 2016 “PEPS” project. The authors are thankful to Franck Multon and Ludovic Hoyet for the fruitful discussions.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.IRISA, University of Rennes 1RennesFrance
  2. 2.Department of Mathematics, CFMFederal University of Santa CatarinaFlorianópolisBrazil

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