CAGIRICI, Onur, Petr HLINĚNÝ and Bodhayan ROY. On Colourability of Polygon Visibility Graphs. Online. In 37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2017). LIPIcs 93. Dagstuhl: Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, 2018, p. "21:1"-"21:14", 14 pp. ISBN 978-3-95977-055-2. Available from: https://dx.doi.org/10.4230/LIPIcs.FSTTCS.2017.21.
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Basic information
Original name On Colourability of Polygon Visibility Graphs
Authors CAGIRICI, Onur (792 Turkey, belonging to the institution), Petr HLINĚNÝ (203 Czech Republic, guarantor, belonging to the institution) and Bodhayan ROY (356 India, belonging to the institution).
Edition LIPIcs 93. Dagstuhl, 37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2017), p. "21:1"-"21:14", 14 pp. 2018.
Publisher Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10201 Computer sciences, information science, bioinformatics
Country of publisher Germany
Confidentiality degree is not subject to a state or trade secret
Publication form electronic version available online
RIV identification code RIV/00216224:14330/18:00100735
Organization unit Faculty of Informatics
ISBN 978-3-95977-055-2
ISSN 1868-8969
Doi http://dx.doi.org/10.4230/LIPIcs.FSTTCS.2017.21
Keywords in English polygon visibility graph; graph coloring; NP-completeness
Tags firank_B, formela-conference
Tags International impact, Reviewed
Changed by Changed by: RNDr. Pavel Šmerk, Ph.D., učo 3880. Changed: 14/6/2022 12:06.
Abstract
We study the problem of colouring the visibility graphs of polygons. In particular, we provide a polynomial algorithm for 4-colouring of the polygon visibility graphs, and prove that the 6-colourability question is already NP-complete for them.
Links
GA17-00837S, research and development projectName: Strukturální vlastnosti, parametrizovaná řešitelnost a těžkost v kombinatorických problémech
Investor: Czech Science Foundation
MUNI/A/0854/2017, interní kód MUName: Rozsáhlé výpočetní systémy: modely, aplikace a verifikace VII.
Investor: Masaryk University, Category A
MUNI/A/0897/2016, interní kód MUName: Rozsáhlé výpočetní systémy: modely, aplikace a verifikace VI.
Investor: Masaryk University, Category A
MUNI/A/0992/2016, interní kód MUName: Zapojení studentů Fakulty informatiky do mezinárodní vědecké komunity (Acronym: SKOMU)
Investor: Masaryk University, Category A
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