Fitting planar graphs on planar maps

Md Jawaherul Alam, Michael Kaufmann, Stephen G Kobourov, Tamara McHedlidze

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

Abstract

Graph and cartographic visualization have the common objective to provide intuitive understanding of some underlying data. We consider a problem that combines aspects of both by studying the problem of fitting planar graphs on planar maps. After providing an NP-hardness result for the general decision problem, we identify sufficient conditions so that a fit is possible on a map with rectangular regions. We generalize our techniques to non-convex rectilinear polygons, where we also address the problem of efficient distribution of the vertices inside the map regions.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages52-64
Number of pages13
Volume8327 LNCS
ISBN (Print)9783319042978
DOIs
StatePublished - 2014
Event40th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2014 - Novy Smokovec, Slovakia
Duration: Jan 26 2014Jan 29 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8327 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other40th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2014
CountrySlovakia
CityNovy Smokovec
Period1/26/141/29/14

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

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  • Cite this

    Alam, M. J., Kaufmann, M., Kobourov, S. G., & McHedlidze, T. (2014). Fitting planar graphs on planar maps. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8327 LNCS, pp. 52-64). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8327 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-04298-5_6