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:

Linear-time algorithms for scattering number and Hamilton-connectivity of interval graphs.

Broersma, H.J. and Fiala, J. and Golovach, P.A. and Kaiser, T. and Paulusma, D. and Proskurowski, A. (2013) 'Linear-time algorithms for scattering number and Hamilton-connectivity of interval graphs.', in Graph-theoretic concepts in computer science : 39th International Workshop, WG 2013, 19-21 June 2013, Lübeck, Germany ; revised papers. Berlin, Heidelberg: Springer, pp. 127-138. Lecture notes in computer science. (8165).

Abstract

We show that for all k ≤ − 1 an interval graph is − (k + 1)-Hamilton-connected if and only if its scattering number is at most k. We also give an O(n + m) time algorithm for computing the scattering number of an interval graph with n vertices and m edges, which improves the O(n 3) time bound of Kratsch, Kloks and Müller. As a consequence of our two results the maximum k for which an interval graph is k-Hamilton-connected can be computed in O(n + m) time.

Item Type:Book chapter
Full text:(AM) Accepted Manuscript
Download PDF
(353Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/978-3-642-45043-3_12
Publisher statement:The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-642-45043-3_12
Date accepted:No date available
Date deposited:15 January 2015
Date of first online publication:2013
Date first made open access:No date available

Save or Share this output

Export:
Export
Look up in GoogleScholar