Fitting planar graphs on planar maps

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

doi:10.1007/978-3-319-04298-5_6

Fitting planar graphs on planar maps

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

Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Publisher	Springer Verlag
Pages	52-64
Number of pages	13
Volume	8327 LNCS
ISBN (Print)	9783319042978
DOIs	https://doi.org/10.1007/978-3-319-04298-5_6
State	Published - 2014
Event	40th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2014 - Novy Smokovec, Slovakia Duration: Jan 26 2014 → Jan 29 2014

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	8327 LNCS
ISSN (Print)	03029743
ISSN (Electronic)	16113349

Other

Other	40th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2014
Country	Slovakia
City	Novy Smokovec
Period	1/26/14 → 1/29/14

ASJC Scopus subject areas

Computer Science(all)
Theoretical Computer Science

Access to Document

10.1007/978-3-319-04298-5_6

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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

Fitting planar graphs on planar maps. / Alam, Md Jawaherul; Kaufmann, Michael; Kobourov, Stephen G; McHedlidze, Tamara.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 8327 LNCS Springer Verlag, 2014. p. 52-64 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8327 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Alam, MJ, Kaufmann, M, Kobourov, SG & 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, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8327 LNCS, Springer Verlag, pp. 52-64, 40th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2014, Novy Smokovec, Slovakia, 1/26/14. https://doi.org/10.1007/978-3-319-04298-5_6

Alam MJ, Kaufmann M, Kobourov SG, McHedlidze T. 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. Springer Verlag. 2014. p. 52-64. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-04298-5_6

Alam, Md Jawaherul ; Kaufmann, Michael ; Kobourov, Stephen G ; McHedlidze, Tamara. / Fitting planar graphs on planar maps. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 8327 LNCS Springer Verlag, 2014. pp. 52-64 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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