On the 2-Layer Window Width Minimization Problem

Michael A. Bekos, Henry Förster, Michael Kaufmann, Stephen Kobourov, Myroslav Kryven, Axel Kuckuk, Lena Schlipf

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

1 Scopus citations

Abstract

When interacting with a visualization of a bipartite graph, one of the most common tasks requires identifying the neighbors of a given vertex. In interactive visualizations, selecting a vertex of interest usually highlights the edges to its neighbors while hiding/shading the rest of the graph. If the graph is large, the highlighted subgraph may not fit in the display window. This motivates a natural optimization task: find an arrangement of the vertices along two layers that reduces the size of the window needed to see a selected vertex and all its neighbors. We consider two variants of the problem; for one we present an efficient algorithm, while for the other we show NP-hardness and give a 2-approximation.

Original languageEnglish (US)
Title of host publicationSOFSEM 2023
Subtitle of host publicationTheory and Practice of Computer Science - 48th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2023, Proceedings
EditorsLeszek Gasieniec
PublisherSpringer Science and Business Media Deutschland GmbH
Pages209-221
Number of pages13
ISBN (Print)9783031231001
DOIs
StatePublished - 2023
Externally publishedYes
Event48th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2023 - Nový Smokovec, Slovakia
Duration: Jan 15 2023Jan 18 2023

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13878 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference48th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2023
Country/TerritorySlovakia
CityNový Smokovec
Period1/15/231/18/23

Keywords

  • 2-layer drawings
  • Bipartite graphs
  • Graph drawing
  • Window width

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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