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An Approach to Dynamical Distance Geometry

  • Antonio Mucherino
  • Douglas S. Gonçalves
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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