The Library
Clique-width and the speed of hereditary properties
Tools
Tools
Tools
Allen, Peter, Lozin, Vadim and Rao, Michael. (2009) Clique-width and the speed of hereditary properties. Electronic Journal of Combinatorics, Vol.16 (No.1). Article no. R35. ISSN 1077-8926
Full text not available from this repository.
Official URL: http://www.combinatorics.org/Volume_16/v16i1toc.ht...
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!c(n) for any c, then the clique-width of graphs in X is unbounded, while if the speed does not exceed the Bell number B-n, 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: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Mathematics | ||||
| Journal or Publication Title: | Electronic Journal of Combinatorics | ||||
| Publisher: | Electronic Journal of Combinatorics | ||||
| ISSN: | 1077-8926 | ||||
| Official Date: | 13 March 2009 | ||||
| Dates: |
|
||||
| Volume: | Vol.16 | ||||
| Number: | No.1 | ||||
| Number of Pages: | 11 | ||||
| Page Range: | Article no. R35 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| URI: | http://wrap.warwick.ac.uk/id/eprint/28293 |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Actions (login required)
 |
View Item |
