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Twin-width can be exponential in treewidth.
- Source :
-
Journal of Combinatorial Theory - Series B . Jul2023, Vol. 161, p1-14. 14p. - Publication Year :
- 2023
-
Abstract
- For any small positive real ε and integer t > 1 ε , we build a graph with a vertex deletion set of size t to a tree, and twin-width greater than 2 (1 − ε) t. In particular, this shows that the twin-width is sometimes exponential in the treewidth, in the so-called oriented twin-width and grid number, and that adding an apex may multiply the twin-width by at least 2 − ε. Except for the one in oriented twin-width, these lower bounds are essentially tight. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TREE size
*INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 00958956
- Volume :
- 161
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Theory - Series B
- Publication Type :
- Academic Journal
- Accession number :
- 163308520
- Full Text :
- https://doi.org/10.1016/j.jctb.2023.01.003