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HandWiki. Distance Geometry Problem. Encyclopedia. Available online: https://encyclopedia.pub/entry/32582 (accessed on 14 October 2026).
HandWiki. Distance Geometry Problem. Encyclopedia. Available at: https://encyclopedia.pub/entry/32582. Accessed October 14, 2026.
HandWiki. "Distance Geometry Problem" Encyclopedia, https://encyclopedia.pub/entry/32582 (accessed October 14, 2026).
HandWiki. (2022, November 03). Distance Geometry Problem. In Encyclopedia. https://encyclopedia.pub/entry/32582
HandWiki. "Distance Geometry Problem." Encyclopedia. Web. 03 November, 2022.
Distance Geometry Problem
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The distance geometry problem is that of characterization and study of sets of points based only on given values of the distances between member pairs. Therefore distance geometry has immediate relevance where distance values are determined or considered, such as biology, sensor network, surveying, cartography, and physics.

distance geometry characterization biology

References

  1. Mucherino, A.; Lavor, C.; Liberti, L.; Maculan, N. (2013). Distance Geometry: Theory, Methods and Applications. 
  2. Biswas, P.; Lian, T.; Wang, T.; Ye, Y. (2006). "Semidefinite programming based algorithms for sensor network localization". ACM Transactions in Sensor Networks 2: 188–220. doi:10.1145/1149283.1149286.  https://dx.doi.org/10.1145%2F1149283.1149286
  3. Crippen, G.M.; Havel, T.F. (1988). "Distance Geometry and Molecular Conformation". John Wiley & Sons. 
  4. Blumenthal, L.M. (1970). Theory and applications of distance geometry (2nd ed.). Bronx, New York: Chelsea Publishing Company. pp. 347. LCCN 79113117. ISBN 0-8284-0242-6. 
  5. More, J.J.; Wu, Z. (1999). "Distance Geometry Optimization for Protein Structures". Journal of Global Optimization 15: 219–223. 
  6. Liberti, L.; Lavor, C.; Maculan, N. (2008). "A Branch-and-Prune Algorithm for the Molecular Distance Geometry Problem". International Transactions in Operational Research 15: 1–17. doi:10.1111/j.1475-3995.2007.00622.x.  https://dx.doi.org/10.1111%2Fj.1475-3995.2007.00622.x
  7. Mucherino, A.; Liberti, L.; Lavor, C.; Maculan, N. (2009). "Comparisons between an Exact and a MetaHeuristic Algorithm for the Molecular Distance Geometry Problem". ACM Conference Proceedings, Genetic and Evolutionary Computation Conference (GECCO09): 333–340. 
  8. Liberti, L.; Lavor, C.; Maculan, N.; Mucherino, A.. "Euclidean Distance Geometry and Applications". SIAM Review, to appear. 
  9. Mucherino, A. (2013). "On the Identification of Discretization Orders for Distance Geometry with Intervals". Lecture Notes in Computer Science 8085: 231–238. doi:10.1007/978-3-642-40020-9_24.  https://dx.doi.org/10.1007%2F978-3-642-40020-9_24
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