Removing Popular Faces in Curve Arrangements

Phoebe de Nooijer, Soeren Terziadis*, Alexandra Weinberger, Zuzana Masárová, Tamara Mchedlidze, Maarten Löffler, Günter Rote

*Corresponding author for this work

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

Abstract

A face in a curve arrangement is called popular if it is bounded by the same curve multiple times. Motivated by the automatic generation of curved nonogram puzzles, we investigate possibilities to eliminate the popular faces in an arrangement by inserting a single additional curve. This turns out to be NP -hard; however, it becomes tractable when the number of popular faces is small: We present a probabilistic FPT -approach in the number of popular faces.

Original languageEnglish
Title of host publicationGraph Drawing and Network Visualization - 31st International Symposium, GD 2023, Revised Selected Papers
EditorsMichael A. Bekos, Markus Chimani
PublisherSpringer Science and Business Media Deutschland GmbH
Pages18-33
Number of pages16
ISBN (Print)9783031492747
DOIs
Publication statusPublished - 2023
Event31st International Symposium on Graph Drawing and Network Visualization: GD 2023 - Palermo, Italy
Duration: 20 Sept 202322 Sept 2023

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume14466
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference31st International Symposium on Graph Drawing and Network Visualization
Country/TerritoryItaly
CityPalermo
Period20/09/2322/09/23

Keywords

  • Curve arrangements
  • Fixed-parameter tractable (FPT)
  • Puzzle generation

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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