The weighted barycenter drawing recognition problem

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Abstract

We consider the question of whether a given graph drawing Γ of a triconnected planar graph G is a weighted barycenter drawing. We answer the question with an elegant arithmetic characterisation using the faces of Γ. This leads to positive answers when the graph is a Halin graph, and to a polynomial time recognition algorithm when the graph is cubic.

Original languageEnglish
Title of host publicationGraph Drawing and Network Visualization - 26th International Symposium, GD 2018, Proceedings
EditorsTherese Biedl, Andreas Kerren
PublisherSpringer Verlag
Pages569-575
Number of pages7
ISBN (Print)9783030044138
DOIs
Publication statusPublished - 2018
Event26th International Symposium on Graph Drawing and Network Visualization, GD 2018 - Barcelona, Spain
Duration: 26 Sep 201828 Sep 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11282 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference26th International Symposium on Graph Drawing and Network Visualization, GD 2018
Country/TerritorySpain
CityBarcelona
Period26/09/1828/09/18

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