Guarding a 1.5D Terrain with Imprecise Viewpoints
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F25%3A00384580" target="_blank" >RIV/68407700:21240/25:00384580 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-98740-3_1" target="_blank" >https://doi.org/10.1007/978-3-031-98740-3_1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-98740-3_1" target="_blank" >10.1007/978-3-031-98740-3_1</a>
Alternative languages
Result language
angličtina
Original language name
Guarding a 1.5D Terrain with Imprecise Viewpoints
Original language description
Given an n-vertex 1.5D terrain T and a set of m edges of T, we study the problem of placing one viewpoint on each edge so that the total length of the visible portions of the terrain is maximized. We present an O(n+m*log m) time (1/2)-approximation algorithm for the general problem, and polynomial-time algorithms for the cases m=1 and m=2. Additionally, we show that the problem of computing a point on T maximizing the visible portion of T can be solved in O(n^3) time.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GX23-04949X" target="_blank" >GX23-04949X: Fundamental questions of discrete geometry</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
36th International Workshop on Combinatorial Algorithms (IWOCA 2025)
ISBN
978-3-031-98740-3
ISSN
1611-3349
e-ISSN
1611-3349
Number of pages
14
Pages from-to
3-16
Publisher name
Springer
Place of publication
Wien
Event location
Bozeman
Event date
Jul 21, 2025
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001596018900001