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:

A generic greedy algorithm, partially-ordered graphs and NP-completeness.

Puricella, A. and Stewart, I. A. (2001) 'A generic greedy algorithm, partially-ordered graphs and NP-completeness.', in Graph-theoretic concepts in computer science : 27th International Workshop, WG 2001, 14-16 June 2001, Boltenhagen, Germany ; proceedings. Berlin: Springer, pp. 306-316. Lecture notes in computer science. (2204).

Abstract

Let π be any fixed polynomial-time testable, non-trivial, hereditary property of graphs. Suppose that the vertices of a graph G are not necessarily linearly ordered but partially ordered, where we think of this partial order as a collection of (possibly exponentially many) linear orders in the natural way. We prove that the problem of deciding whether a lexicographically first maximal subgraph of G satisfying π, with respect to one of these linear orders, contains a specified vertex is NP-complete.

Item Type:Book chapter
Keywords:Greedy algorithms, NP-completeness, Hereditary properties.
Full text:(AM) Accepted Manuscript
Download PDF
(225Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/3-540-45477-2_28
Publisher statement:The final publication is available at Springer via http://dx.doi.org/10.1007/3-540-45477-2_28
Date accepted:No date available
Date deposited:25 August 2009
Date of first online publication:January 2001
Date first made open access:No date available

Save or Share this output

Export:
Export
Look up in GoogleScholar