@inbook{1590,
abstract = {The straight skeleton of a polygon is the geometric graph obtained by tracing the vertices during a mitered offsetting process. It is known that the straight skeleton of a simple polygon is a tree, and one can naturally derive directions on the edges of the tree from the propagation of the shrinking process. In this paper, we ask the reverse question: Given a tree with directed edges, can it be the straight skeleton of a polygon? And if so, can we find a suitable simple polygon? We answer these questions for all directed trees where the order of edges around each node is fixed.},
author = {Aichholzer, Oswin and Biedl, Therese and Hackl, Thomas and Held, Martin and Huber, Stefan and Palfrader, Peter and Vogtenhuber, Birgit},
booktitle = {Graph Drawing and Network Visualization},
location = {Los Angeles, CA, United States},
pages = {335 -- 347},
publisher = {Springer},
title = {{Representing directed trees as straight skeletons}},
doi = {10.1007/978-3-319-27261-0_28},
volume = {9411},
year = {2015},
}