Discrete Mathematics & Theoretical Computer Science
Volume 3 n° 4 (1999), pp. 141-150
| author: | Hans L. Bodlaender |
|---|---|
| title: | A note on domino treewidth |
| keywords: | Treewidth, Domino treewidth, Graph algorithms, Tree decompositions |
| abstract: | In [DO95], Ding and Oporowski proved that for every k, and d,
there exists a constant ck,d, such that every graph with treewidth
at most k and maximum degree at most d has domino treewidth at
most ck,d. This note gives a new simple proof of this fact, with a
better bound for ck,d, namely (9k+7)d(d+1) -1.
It is also shown that a lower bound of Ω(kd) holds: there are
graphs with domino treewidth at least 1/12 × kd-1, treewidth at
most k, and maximum degree at most d, for many values k
and d.
The domino treewidth of a tree is at most its maximum degree.
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| reference: | Hans L. Bodlaender (1999), A note on domino treewidth, Discrete Mathematics and Theoretical Computer Science 3, pp. 141-150 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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