Minimum-Link C-Oriented Paths Visiting a Sequence of Regions in the Plane

Kerem Geva, Matthew J. Katz, Joseph S.B. Mitchell, Eli Packer

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

Abstract

Let be a set of C-oriented disjoint segments in R is a given finite set of orientations that spans the plane, and let s and t be two points. We seek a minimum-link C-oriented tour of E, that is, a polygonal path from s to t that visits the segments of E in order, such that, the orientations of its edges are in C and their number is minimum. We present an algorithm for computing such a tour in time. This problem already captures most of the difficulties occurring in the study of the more general problem, in which E is a set of not-necessarily-disjoint C-oriented polygons.

Original languageEnglish
Title of host publicationAlgorithms and Complexity - 13th International Conference, CIAC 2023, Proceedings
EditorsMarios Mavronicolas
PublisherSpringer Science and Business Media Deutschland GmbH
Pages247-262
Number of pages16
ISBN (Print)9783031304477
DOIs
StatePublished - 1 Jan 2023
Event13th International Symposium on Algorithms and Complexity, CIAC 2023 - Larnaca, Cyprus
Duration: 13 Jun 202316 Jun 2023

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13898 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference13th International Symposium on Algorithms and Complexity, CIAC 2023
Country/TerritoryCyprus
CityLarnaca
Period13/06/2316/06/23

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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