Record link: 
http://hdl.handle.net/20.500.12708/144395
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Title: 
Twin-width and generalized coloring numbers
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Citation: 
Dreier, J., Gajarský, J., Jiang, Y., Ossona de Mendez, P., & Raymond, J.-F. (2022). Twin-width and generalized coloring numbers. Discrete Mathematics, 345(3), Article 112746. https://doi.org/10.1016/j.disc.2021.112746
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Publisher DOI: 
10.1016/j.disc.2021.112746
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Publication Type: 
Article - Original Research Article
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Language: 
English
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Authors: 
Dreier, Jan 
Gajarský, Jakub 
Jiang, Yiting 
Ossona de Mendez, Patrice 
Raymond, Jean-Florent 
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Organisational Unit: 
E192-01 - Forschungsbereich Algorithms and Complexity 
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Journal: 
Discrete Mathematics 
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ISSN: 
0012-365X
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Date (published): 
Mar-2022
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Number of Pages: 
8
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Publisher: 
ELSEVIER
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Peer reviewed: 
Yes
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Keywords: 
Generalized coloring numbers; Twin-width; Permutations; bounded expansion; admissibility
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Abstract: 
In this paper, we prove that a graph G with no Ks,s-subgraph and twin-width d has r-admissibility and r-coloring numbers bounded from above by an exponential function of r and that we can construct graphs achieving such a dependency in r.
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Research Areas: 
Logic and Computation: 100%
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Science Branch: 
1020 - Informatik: 80%
1010 - Mathematik: 20%
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