Proportional contact representations of planar graphs

Muhammad Jawaherul Alam, Therese Biedl, Stefan Felsner, Michael Kaufmann, Stephen G. Kobourov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Scopus citations

Abstract

We study contact representations for planar graphs, with vertices represented by simple polygons and adjacencies represented by point-contacts or side-contacts between the corresponding polygons. Specifically, we consider proportional contact representations, where pre-specified vertex weights must be represented by the areas of the corresponding polygons. Several natural optimization goals for such representations include minimizing the complexity of the polygons, the cartographic error, and the unused area. We describe constructive algorithms for proportional contact representations with optimal complexity for general planar graphs and planar 2-segment graphs, which include maximal outerplanar graphs and partial 2-trees.

Original languageEnglish (US)
Title of host publicationGraph Drawing - 19th International Symposium, GD 2011, Revised Selected Papers
Pages26-38
Number of pages13
DOIs
StatePublished - Jan 1 2012
Event19th International Symposium on Graph Drawing, GD 2011 - Eindhoven, Netherlands
Duration: Sep 21 2011Sep 23 2011

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7034 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other19th International Symposium on Graph Drawing, GD 2011
CountryNetherlands
CityEindhoven
Period9/21/119/23/11

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Alam, M. J., Biedl, T., Felsner, S., Kaufmann, M., & Kobourov, S. G. (2012). Proportional contact representations of planar graphs. In Graph Drawing - 19th International Symposium, GD 2011, Revised Selected Papers (pp. 26-38). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 7034 LNCS). https://doi.org/10.1007/978-3-642-25878-7_4