Removing Popular Faces in Curve Arrangements

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...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors de Nooijer, Phoebe, Terziadis, Soeren, Weinberger, Alexandra, Masárová, Zuzana, Mchedlidze, Tamara, Löffler, Maarten, Rote, Günter
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.08.2023
Online AccessGet full text

Cover

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.
AbstractList 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.
Author Löffler, Maarten
Weinberger, Alexandra
Rote, Günter
Masárová, Zuzana
Terziadis, Soeren
Mchedlidze, Tamara
de Nooijer, Phoebe
Author_xml – sequence: 1
  givenname: Phoebe
  surname: de Nooijer
  fullname: de Nooijer, Phoebe
– sequence: 2
  givenname: Soeren
  surname: Terziadis
  fullname: Terziadis, Soeren
– sequence: 3
  givenname: Alexandra
  surname: Weinberger
  fullname: Weinberger, Alexandra
– sequence: 4
  givenname: Zuzana
  surname: Masárová
  fullname: Masárová, Zuzana
– sequence: 5
  givenname: Tamara
  surname: Mchedlidze
  fullname: Mchedlidze, Tamara
– sequence: 6
  givenname: Maarten
  surname: Löffler
  fullname: Löffler, Maarten
– sequence: 7
  givenname: Günter
  surname: Rote
  fullname: Rote, Günter
BookMark eNqNjcEKgkAQQIcoyMp_WOiaoLNqXkOSjhHdZYlJFJ21Hdfvz0Mf0Okd3oO3gzVbphUEqHUSFSniFkKRLo5jzM-YZTqA04MGO7fcqLsdfW-cqsyLRLWsSu9mUhfnDDc0EE9ygM3b9ELhj3s4VtdneYtGZz-eZKo76x0vqsZ8eSaYFqj_q76WrTMe
ContentType Paper
Copyright 2023. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: 2023. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID 8FE
8FG
ABJCF
ABUWG
AFKRA
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
HCIFZ
L6V
M7S
PIMPY
PQEST
PQQKQ
PQUKI
PTHSS
DatabaseName ProQuest SciTech Collection
ProQuest Technology Collection
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
ProQuest Central Essentials
ProQuest Central
Technology Collection
ProQuest One Community College
ProQuest Central
SciTech Premium Collection
ProQuest Engineering Collection
Engineering Database
Access via ProQuest (Open Access)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Academic
ProQuest One Academic UKI Edition
Engineering Collection
DatabaseTitle Publicly Available Content Database
Engineering Database
Technology Collection
ProQuest Central Essentials
ProQuest One Academic Eastern Edition
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest Central
ProQuest Engineering Collection
ProQuest One Academic UKI Edition
ProQuest Central Korea
Materials Science & Engineering Collection
ProQuest One Academic
Engineering Collection
DatabaseTitleList Publicly Available Content Database
Database_xml – sequence: 1
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 2331-8422
Genre Working Paper/Pre-Print
GroupedDBID 8FE
8FG
ABJCF
ABUWG
AFKRA
ALMA_UNASSIGNED_HOLDINGS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
FRJ
HCIFZ
L6V
M7S
M~E
PIMPY
PQEST
PQQKQ
PQUKI
PTHSS
ID FETCH-proquest_journals_26331124823
IEDL.DBID 8FG
IngestDate Tue Sep 24 19:50:55 EDT 2024
IsOpenAccess true
IsPeerReviewed false
IsScholarly false
Language English
LinkModel DirectLink
MergedId FETCHMERGED-proquest_journals_26331124823
OpenAccessLink https://www.proquest.com/docview/2633112482/abstract/?pq-origsite=%requestingapplication%
PQID 2633112482
PQPubID 2050157
ParticipantIDs proquest_journals_2633112482
PublicationCentury 2000
PublicationDate 20230830
PublicationDateYYYYMMDD 2023-08-30
PublicationDate_xml – month: 08
  year: 2023
  text: 20230830
  day: 30
PublicationDecade 2020
PublicationPlace Ithaca
PublicationPlace_xml – name: Ithaca
PublicationTitle arXiv.org
PublicationYear 2023
Publisher Cornell University Library, arXiv.org
Publisher_xml – name: Cornell University Library, arXiv.org
SSID ssj0002672553
Score 3.4780953
SecondaryResourceType preprint
Snippet 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...
SourceID proquest
SourceType Aggregation Database
Title Removing Popular Faces in Curve Arrangements
URI https://www.proquest.com/docview/2633112482/abstract/
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3PS8MwFH7MFcGbP_HHHAE9Gro1adaeREdrETbKUNhtJGkKHpwz6zz6t5sXVj0IO4ZAEkLyvve-vJcP4DZ2Vs9IZijTUUq5rBOqNBeUm3rE1DCpued0J1NRvPLneTzvQNHWwmBaZWsTvaGuPjRy5GEkGHO-AU-iUCpkAXQT3q8-KepH4TvrVkxjD4Ih_omHNeP50y_bEomR853ZP4PrUSQ_hKCUK2OPoGOWx7Dvky_1-gTuZubdB_ak9HJaluSYKEXelmS8sV-GPFiLNQC-Gu0UbvLsZVzQdorF9jisF3-LZ2fQdXG9OQcijMOFeMAdxqY8ke4q6EqlVSVcBMJZzS6gt2uky93dV3CAyuie_hz0oNvYjbl2-Nmovt-aPgSP2bScudbkO_sBZOx5iA
link.rule.ids 786,790,12792,21416,33408,33779,43635,43840
linkProvider ProQuest
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1NSwMxEB20RezNT7RWDejRYN3MprsnkeK6aluKVOht2Y9Z6MFas62_30nY6kHoOZCEkLw38_KGAbj2GfUoVSRV7oUS0zKQWY5aIpU9ld0FJTpNdzjS8Tu-TP1pLbhVta1yjYkOqIvP3Grkt55WimMDDLz7xZe0XaPs72rdQmMbmqiYOm2lePT0q7F4uscRs_oHs447oj1ojtMFmX3YovkB7DjLZV4dws0bfbh0XoxdEy0jImuPErO56K_MN4kHY6zz39WgHcFV9Djpx3K9RFJfgir527I6hgZn83QCQhOzgd9FZtYQg5QfQF5kYVFozjtQleoUOptmam8evoTdeDIcJIPn0esZtGxvdCeAdjvQWJoVnTODLrMLd0w_lnx16w
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Removing+Popular+Faces+in+Curve+Arrangements&rft.jtitle=arXiv.org&rft.au=de+Nooijer%2C+Phoebe&rft.au=Terziadis%2C+Soeren&rft.au=Weinberger%2C+Alexandra&rft.au=Mas%C3%A1rov%C3%A1%2C+Zuzana&rft.date=2023-08-30&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422