Liberti L., Lavor C. Euclidean Distance Geometry:An Introduction

New York: Springer, 2017. — 141 p.Concise proofs are given and step-by-step algorithms for solving fundamental problems efficiently and precisely are presented in Mathematica, enabling the reader to experiment with concepts and methods as they are introduced. Descriptive graphics, examples, and problems, accompany the real gems of the text, namely the applications in visualization of graphs, localization of sensor networks, protein conformation from distance data, clock synchronization protocols, robotics, and control of unmanned underwater vehicles, to name several.
Aimed at intermediate undergraduates, beginning graduate students, researchers, and practitioners, the reader with a basic knowledge of linear algebra will gain an understanding of the basic theories of distance geometry and why they work in real life.The Distance Geometry Problem
Realizing complete graphs
Discretizability
Molecular distance geometry problems
Vertex orders
Flexibility and rigidity
Approximate realizations
Taking DG further