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<p>Special Issue in Journal of Global Optimization: Distance Geometry Theory and Applications<br />=========================================================</p>
<p>Following the Distance Geometry Theory and Applications (DGTA16) workshop, organized at DIMACS last July 2016 <br /><http://dimacs.rutgers.edu/Workshops/Distance/>, <br />a special issue dedicated to the topics of the workshop, but open to everyone, have been set up <br />in the Journal of Global Optimization (JOGO). This issue will be co-edited by:<br />- Farid Alizadeh (Rutgers University, USA)<br />- Douglas Goncalves (Universidade Federal de Santa Catarina, Brazil)<br />- Nathan Krislock (Northern Illinois University, USA)<br />- Leo Liberti (CNRS & Ecole Polytechnique, France).<br />We are therefore calling for contributions to this issue.</p>
<p>The submission deadline is: 31 May 2017. Submissions are made through the web editorial manager:<br />- JOGO (Springer): <http://www.editorialmanager.com/jogo></p>
<p>In the system, one of the first screens after specifying the title asks you for "paper type". This is where you MUST click on the "S.I. : DGTA16" (or similar label), since otherwise the paper will go directly to the Editor-in-Chief rather than to our issue. The refereeing process will involve at least two referees per paper. You do not need to specify a list of possible referees. As soon as a submission comes in, it will be handled. So if your paper is ready, submit it now rather than close to deadline! For transparency: submissions co-authored by one of the guest co-editors will be handled by the Editors-in-Chief of the journal, and the process will be completely hidden from the guest editorial board.</p>
<p>Distance Geometry (DG) in its broader definition is the study of geometry mostly based on distances between entities. More specifically, DG is the study of metric spaces. Its main problem is the DG Problem (or DGP), which is an inverse problem that occurs frequently in many applications, such as e.g. to localization of wireless networks, synchronization protocols, determination of protein structure (or nanostructures) through NMR data, localization of fleets of autonomous underwater vehicles, flexibility or reach of robotic structures, rigidity of architectural structures, and more. Given an integer K and a graph G=(V,E) with weights d_ij on the edges {i,j}, the problem is to determine positions x_i (for each vertex i) in a K-dimensional Euclidean space such that, for each edge {i,j} the length of the segment between x_i and x_j and is exactly, or approximately, the given distance value d_ij. By "length of segment" we mean the Euclidean norm, but there are applications that call for the use of other norms. Related fields include embeddings of metric spaces with some distortion, the restricted isometry property, Erdos' distances problem.</p>
<p>Feel free to get in touch with any of us if you want to ask us for advice on your submission. In general, a heads up about a paper you want to submit to this issue is welcome!</p>
<p>Farid Alizadeh<br />Douglas Goncalves<br />Nathan Krislock<br />Leo Liberti</p>
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