Minimum level nonplanar patterns for trees

J. Joseph Fowler, Stephen G Kobourov

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

8 Citations (Scopus)

Abstract

Minimum Level Nonplanar (MLNP) patterns play the role for level planar graphs that the forbidden Kuratowksi subdivisions K 5 and K 3,3 play for planar graphs. We add two (MLNP) patterns for trees to the previous set of tree patterns given by Healy et al. [4]. Neither of these patterns match any of the previous patterns. We show that this new set of patterns completely characterizes level planar trees.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages69-75
Number of pages7
Volume4875 LNCS
DOIs
StatePublished - 2008
Event15th International Symposium on Graph Drawing, GD 2007 - Sydney, Australia
Duration: Sep 24 2007Sep 26 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4875 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other15th International Symposium on Graph Drawing, GD 2007
CountryAustralia
CitySydney
Period9/24/079/26/07

Fingerprint

Planar graph
Subdivision

ASJC Scopus subject areas

  • Computer Science(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Theoretical Computer Science

Cite this

Fowler, J. J., & Kobourov, S. G. (2008). Minimum level nonplanar patterns for trees. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4875 LNCS, pp. 69-75). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4875 LNCS). https://doi.org/10.1007/978-3-540-77537-9_10

Minimum level nonplanar patterns for trees. / Fowler, J. Joseph; Kobourov, Stephen G.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 4875 LNCS 2008. p. 69-75 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4875 LNCS).

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

Fowler, JJ & Kobourov, SG 2008, Minimum level nonplanar patterns for trees. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 4875 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4875 LNCS, pp. 69-75, 15th International Symposium on Graph Drawing, GD 2007, Sydney, Australia, 9/24/07. https://doi.org/10.1007/978-3-540-77537-9_10
Fowler JJ, Kobourov SG. Minimum level nonplanar patterns for trees. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 4875 LNCS. 2008. p. 69-75. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-540-77537-9_10
Fowler, J. Joseph ; Kobourov, Stephen G. / Minimum level nonplanar patterns for trees. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 4875 LNCS 2008. pp. 69-75 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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