On Edge Intersection Graphs of Paths with 2 Bends

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9941)

Abstract

An EPG-representation of a graph G is a collection of paths in a grid, each corresponding to a single vertex of G, so that two vertices are adjacent if and only if their corresponding paths share infinitely many points. In this paper we focus on graphs admitting EPG-representations by paths with at most 2 bends. We show hardness of the recognition problem for this class of graphs, along with some subclasses.

We also initiate the study of graphs representable by unaligned polylines, and by polylines, whose every segment is parallel to one of prescribed slopes. We show hardness of recognition and explore the trade-off between the number of bends and the number of slopes.

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Copyright information

© Springer-Verlag GmbH Germany 2016

Authors and Affiliations

  1. 1.Department of Software and Computer Science EducationCharles UniversityPrahaCzech Republic
  2. 2.Institute of Computer Science and ControlHungarian Academy of Sciences (MTA SZTAKI)BudapestHungary
  3. 3.Faculty of Mathematics and Information ScienceWarsaw University of TechnologyWarszawaPoland

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