Allen, Peter 
ORCID: 0000-0001-6555-3501, Lozin, Vadim and Rao, Michaël
(2009)
Clique-width and the speed of hereditary properties.
Electronic Journal of Combinatorics, 16 (1).
R35.
ISSN 1077-8926
Abstract
In this paper, we study the relationship between the number of n-vertex graphs in a hereditary class X, also known as the speed of the class X, and boundedness of the clique-width in this class. We show that if the speed of X is faster than n!cn for any c, then the clique-width of graphs in X is unbounded, while if the speed does not exceed the Bell number Bn, then the clique-width is bounded by a constant. The situation in the range between these two extremes is more complicated. This area contains both classes of bounded and unbounded clique-width. Moreover, we show that classes of graphs of unbounded clique-width may have slower speed than classes where the clique-width is bounded.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.combinatorics.org/ojs/index.php/eljc/in... |
| Additional Information: | © 2009 The Author |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 28 May 2012 14:51 |
| Last Modified: | 11 Dec 2024 23:36 |
| URI: | http://eprints.lse.ac.uk/id/eprint/44100 |
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