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arXiv · 1010.1834

On the number of solutions of the discretizable molecular distance geometry problem

Leo Liberti·Benoit Masson·Jon Lee·Carlile Lavor·Antonio Mucherino
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Abstract

The Generalized Discretizable Molecular Distance Geometry Problem is a distance geometry problems that can be solved by a combinatorial algorithm called ``Branch-and-Prune''. It was observed empirically that the number of solutions of YES instances is always a power of two. We give a proof that this event happens with probability one.

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Leo Liberti, Benoit Masson, Jon Lee, Carlile Lavor, Antonio Mucherino. 2010-10-09. On the number of solutions of the discretizable molecular distance geometry problem. https://arxiv.org/abs/1010.1834

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