Abstract
We know that to ensure the finiteness of the solution set of the DGP, we can impose an order on the vertices of the associated graph. If such an order exists, it is not hard to find it in the DGP graph.
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References
Abud, G., Alencar, J.: Counting the number of solutions of the discretizable molecular distance geometry problem. In: Andrioni, A., Lavor, C., Liberti, L., Mucherino, A., Maculan, N., Rodriguez, R. (eds.) Proceedings of the Workshop on Distance Geometry and Applications, pp. 29–32. Universidade Federal do Amazonas, Manaus (2013)
Cassioli, A., Gunluk, O., Lavor, C., Liberti, L.: Discretization vertex orders in distance geometry. Discret. Appl. Math. 197, 27–41 (2015).
Lavor, C., Liberti, L., Maculan, N.: A note on “A Branch-and-Prune Algorithm for the Molecular Distance Geometry Problem”. Int. Trans. Oper. Res. 18, 751–752 (2011)
Lavor, C., Liberti, L., Maculan, N., Mucherino, A.: The discretizable molecular distance geometry problem. Comput. Optim. Appl. 52, 115–146 (2012)
Lavor, C., Liberti, L., Mucherino, A.: The interval branch-and-prune algorithm for the discretizable molecular distance geometry problem with inexact distances. J. Glob. Optim. 56, 855–871 (2013)
Lavor, C., Alves, R., Figueiredo, W., Petraglia, A., Maculan, N.: Clifford algebra and the discretizable molecular distance geometry problem. Adv. Appl. Clifford Algebr. 25, 925–942 (2015)
Liberti, L., Lavor, C., Maculan, N.: A branch-and-prune algorithm for the molecular distance geometry problem. Int. Trans. Oper. Res. 15, 1–17 (2008)
Liberti, L., Lavor, C., Alencar, J., Resende, G.: Counting the number of solutions of KDMDGP instances. Lecture Notes Comput. Sci. 8085, 224–230 (2013)
Liberti, L., Lavor, C., Maculan, N., Mucherino, A.: Euclidean distance geometry and applications. SIAM Rev. 56, 3–69 (2014)
Liberti, L., Masson, B., Lee, J., Lavor, C., Mucherino, A.: On the number of realizations of certain Henneberg graphs arising in protein conformation. Discret. Appl. Math. 165, 213–232 (2014)
Mucherino, A., Lavor, C., Liberti, L.: Exploiting symmetry properties of the discretizable molecular distance geometry problem. J. Bioinform. Comput. Biol. 10, 1242009(1–15) (2012)
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Lavor, C., Liberti, L., Lodwick, W.A., Mendonça da Costa, T. (2017). The Discretizable Molecular Distance Geometry Problem (DMDGP). In: An Introduction to Distance Geometry applied to Molecular Geometry. SpringerBriefs in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-319-57183-6_5
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DOI: https://doi.org/10.1007/978-3-319-57183-6_5
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