Library Header Image
LSE Research Online LSE Library Services

Clique-width and the speed of hereditary properties

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

Full text not available from this repository.


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:
Additional Information: © 2009 The Author
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 28 May 2012 14:51
Last Modified: 16 May 2024 00:58

Actions (login required)

View Item View Item