@InProceedings{huang_et_al:LIPIcs.SWAT.2018.26, author = {Huang, Shang-En and Pettie, Seth}, title = {{Lower Bounds on Sparse Spanners, Emulators, and Diameter-reducing shortcuts}}, booktitle = {16th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2018)}, pages = {26:1--26:12}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-068-2}, ISSN = {1868-8969}, year = {2018}, volume = {101}, editor = {Eppstein, David}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SWAT.2018.26}, URN = {urn:nbn:de:0030-drops-88521}, doi = {10.4230/LIPIcs.SWAT.2018.26}, annote = {Keywords: additive spanners, emulators, shortcutting directed graphs} }