<p><em>Boundaries and Hulls of Euclidean Graphs: From Theory to Practice</em> presents concepts and algorithms for finding convex concave and polygon hulls of Euclidean graphs. It also includes some implementations determining and comparing their complexities. Since the implementation is application-dependent either centralized or distributed some basic concepts of the centralized and distributed versions are reviewed. Theoreticians will find a presentation of different algorithms together with an evaluation of their complexity and their utilities as well as their field of application. Practitioners will find some practical and real-world situations in which the presented algorithms can be used.</p>