Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

Squares of low clique number.

Golovach, Petr and Kratsch, Dieter and Paulusma, Daniël and Stewart, Anthony (2016) 'Squares of low clique number.', Electronic notes in discrete mathematics., 55 . pp. 195-198.

Abstract

The Square Root problem is that of deciding whether a given graph admits a square root. This problem is only known to be NP-complete for chordal graphs and polynomial-time solvable for non-trivial minor-closed graph classes and a very limited number of other graph classes. By researching boundedness of the treewidth of a graph, we prove that Square Root is polynomial-time solvable on various graph classes of low clique number that are not minor-closed.

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
Download PDF
(266Kb)
Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1016/j.endm.2016.10.048
Publisher statement:© 2016 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Date accepted:29 March 2016
Date deposited:12 December 2016
Date of first online publication:17 November 2016
Date first made open access:17 May 2018

Save or Share this output

Export:
Export
Look up in GoogleScholar