A fully dynamic algorithm to test the upward planarity of single-source embedded digraphs

Aimal Rextin, Patrick Healy

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we present a dynamic algorithm that checks if a single-source embedded digraph is upward planar in the presence of edge insertions and edge deletions. Let G Øφ be an upward planar single-source embedded digraph and let G?Øφ? Ø be a single-source embedded digraph obtained by updating G Øφ. We show that the upward planarity of G? Øφ?can be checked in O(logn) amortized time when the external face is fixed.

Original languageEnglish
Title of host publicationGraph Drawing - 16th International Symposium, GD 2008, Revised Papers
PublisherSpringer Verlag
Pages254-265
Number of pages12
ISBN (Print)3642002188, 9783642002182
DOIs
Publication statusPublished - 2009
Event16th International Symposium on Graph Drawing, GD 2008 - Heraklion, Crete, Greece
Duration: 21 Sep 200824 Sep 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5417 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference16th International Symposium on Graph Drawing, GD 2008
Country/TerritoryGreece
CityHeraklion, Crete
Period21/09/0824/09/08

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