Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/102319
Title: | On embeddability of buses in point sets |
Authors: | Bruckdorfer, T. Kaufmann, M. Kobourov, S. G. Pupyrev, S. |
Issue Date: | 2015 |
Publisher: | Springer Verlag |
Citation: | On embeddability of buses in point sets / T. Bruckdorfer, M. Kaufmann, S. G. Kobourov, et al. — DOI 10.1007/978-3-319-27261-0_33 // Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). — 2015. — Vol. 9411. — P. 395-408. |
Abstract: | Set membership of points in the plane can be visualized by connecting corresponding points via graphical features, like paths, trees, polygons, ellipses. In this paper we study the bus embeddability problem (BEP): given a set of colored points we ask whether there exists a planar realization with one horizontal straight-line segment per color, called bus, such that all points with the same color are connected with vertical line segments to their bus. We present an ILP and an FPT algorithm for the general problem. For restricted versions of this problem, such as when the relative order of buses is predefined, or when a bus must be placed above all its points, we provide efficient algorithms. We show that another restricted version of the problem can be solved using 2-stack pushall sorting. On the negative side we prove the NP-completeness of a special case of BEP. © Springer International Publishing Switzerland 2015. |
Keywords: | ALGORITHMS DRAWING (GRAPHICS) VISUALIZATION EMBEDDABILITY PROBLEM FPT ALGORITHMS GRAPHICAL FEATURES NEGATIVE SIDES NP-COMPLETENESS SET MEMBERSHIP STRAIGHT-LINE SEGMENTS VERTICAL LINES BUSES |
URI: | http://elar.urfu.ru/handle/10995/102319 |
Access: | info:eu-repo/semantics/openAccess |
SCOPUS ID: | 84951974834 |
PURE ID: | 568305 bdd66afb-5cda-4f2c-bac7-fa16d82f1a06 |
ISSN: | 3029743 |
ISBN: | 9783319272603 |
DOI: | 10.1007/978-3-319-27261-0_33 |
Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2-s2.0-84951974834.pdf | 432,78 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.