Balanced Schnyder Woods for Planar Triangulations: An Experimental Study with Applications to Graph Drawing and Graph Separators

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Abstract

In this work we consider balanced Schnyder woods for planar graphs, which are Schnyder woods where the number of incoming edges of each color at each vertex is balanced as much as possible. We provide a simple linear-time heuristic leading to obtain well balanced Schnyder woods in practice. As test applications we consider two important algorithmic problems: the computation of Schnyder drawings and of small cycle separators. While not being able to provide theoretical guarantees, our experimental results (on a wide collection of planar graphs) suggest that the use of balanced Schnyder woods leads to an improvement of the quality of the layout of Schnyder drawings, and provides an efficient tool for computing short and balanced cycle separators.

Original languageEnglish
Title of host publicationGraph Drawing and Network Visualization - 27th International Symposium, GD 2019, Proceedings
EditorsDaniel Archambault, Csaba D. Tóth
PublisherSpringer
Pages114-121
Number of pages8
ISBN (Print)9783030358013
DOIs
Publication statusPublished - 1 Jan 2019
Event27th International Symposium on Graph Drawing and Network Visualization, GD 2019 - Prague, Czech Republic
Duration: 17 Sept 201920 Sept 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11904 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference27th International Symposium on Graph Drawing and Network Visualization, GD 2019
Country/TerritoryCzech Republic
CityPrague
Period17/09/1920/09/19

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