We introduce and study the online house numbering problem, where houses are added arbitrarily along a road and must be assigned labels to maintain their ordering along the road. The online house numbering problem is related to classic online list labeling problems, except that the optimization goal here is to minimize the maximum number of times that any house is relabeled. We provide several algorithms that achieve interesting tradeoffs between upper bounds on the number of maximum relabels per element and the number of bits used by labels.
@InProceedings{devanny_et_al:LIPIcs.ESA.2017.33, author = {Devanny, William E. and Fineman, Jeremy T. and Goodrich, Michael T. and Kopelowitz, Tsvi}, title = {{The Online House Numbering Problem: Min-Max Online List Labeling}}, booktitle = {25th Annual European Symposium on Algorithms (ESA 2017)}, pages = {33:1--33:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-049-1}, ISSN = {1868-8969}, year = {2017}, volume = {87}, editor = {Pruhs, Kirk and Sohler, Christian}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2017.33}, URN = {urn:nbn:de:0030-drops-78831}, doi = {10.4230/LIPIcs.ESA.2017.33}, annote = {Keywords: house numbering, list labeling, file maintenance} }
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