Maximum upward planar subgraph of a single-source embedded digraph

Aimal Rextin, Patrick Healy

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

Abstract

We show how to compute a maximum upward planar single-source subgraph of a single-source embedded DAG G φ . We first show that finding a maximum upward planar subgraph of a single-source embedded digraph is NP-complete. We then give a new characterization of upward planar single-source digraphs. We use this characterization to present an algorithm that computes a maximum upward planar single-source subgraph of a single-source embedded DAG. This algorithm takes O(n 4) time in the worst case and O(n 3) time on average.

Original languageEnglish
Title of host publicationComputing and Combinatorics - 16th Annual International Conference, COCOON 2010, Proceedings
Pages110-119
Number of pages10
DOIs
Publication statusPublished - 2010
Event16th Annual International Computing and Combinatorics Conference, COCOON 2010 - Nha Trang, Viet Nam
Duration: 19 Jul 201021 Jul 2010

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume6196 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference16th Annual International Computing and Combinatorics Conference, COCOON 2010
Country/TerritoryViet Nam
CityNha Trang
Period19/07/1021/07/10

Fingerprint

Dive into the research topics of 'Maximum upward planar subgraph of a single-source embedded digraph'. Together they form a unique fingerprint.

Cite this