Low ply graph drawing

Emilio Di Giacomo, Walter Didimo, Seok Hee Hong, Michael Kaufmann, Stephen G Kobourov, Giuseppe Liotta, Kazuo Misue, Antonios Symvonis, Hsu Chun Yen

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

7 Scopus citations

Abstract

We consider the problem of characterizing graphs with low ply number and algorithms for creating layouts of graphs with low ply number. Informally, the ply number of a straight-line drawing of a graph is defined as the maximum number of overlapping disks, where each disk is associated with a vertex and has a radius that is half the length of the longest edge incident to that vertex. We show that internally triangulated biconnected planar graphs that admit a drawing with ply number 1 can be recognized in O(n log n) time, while the problem is in general NP-hard. We also show several classes of graphs that have 1-ply drawings. We then show that binary trees, stars, and caterpillars have 2-ply drawings, while general trees have (h+1)-ply drawings, where h is the height of the tree. Finally we discuss some generalizations of the notion of a ply number.

Original languageEnglish (US)
Title of host publicationIISA 2015 - 6th International Conference on Information, Intelligence, Systems and Applications
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Print)9781467393119
DOIs
StatePublished - Jan 20 2016
Event6th International Conference on Information, Intelligence, Systems and Applications, IISA 2015 - Corfu, Greece
Duration: Jul 6 2015Jul 8 2015

Other

Other6th International Conference on Information, Intelligence, Systems and Applications, IISA 2015
CountryGreece
CityCorfu
Period7/6/157/8/15

ASJC Scopus subject areas

  • Computer Science Applications
  • Social Sciences (miscellaneous)
  • Artificial Intelligence
  • Information Systems

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  • Cite this

    Di Giacomo, E., Didimo, W., Hong, S. H., Kaufmann, M., Kobourov, S. G., Liotta, G., Misue, K., Symvonis, A., & Yen, H. C. (2016). Low ply graph drawing. In IISA 2015 - 6th International Conference on Information, Intelligence, Systems and Applications [7388020] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IISA.2015.7388020