liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
NP-completeness of generalized multi-Skolem sequences
Linköping University, The Institute of Technology. Linköping University, Department of Computer and Information Science, TCSLAB - Theoretical Computer Science Laboratory.
2007 (English)In: Discrete Applied Mathematics, ISSN 0166-218X, Vol. 155, no 16, 2061-2068 p.Article in journal (Refereed) Published
Abstract [en]

A Skolem sequence is a sequence a1, a2, ..., a2 n (where ai ? A = { 1, ..., n }), each ai occurs exactly twice in the sequence and the two occurrences are exactly ai positions apart. A set A that can be used to construct Skolem sequences is called a Skolem set. The existence question of deciding which sets of the form A = { 1, ..., n } are Skolem sets was solved by Skolem [On certain distributions of integers in pairs with given differences, Math. Scand. 5 (1957) 57-68] in 1957. Many generalizations of Skolem sequences have been studied. In this paper we prove that the existence question for generalized multi-Skolem sequences is NP-complete. This can be seen as an upper bound on how far the generalizations of Skolem sequences can be taken while still hoping to resolve the existence question. © 2007 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
2007. Vol. 155, no 16, 2061-2068 p.
Keyword [en]
Design theory, NP-completeness, Skolem sequence
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-48388DOI: 10.1016/j.dam.2007.05.007OAI: diva2:269284
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-11

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Nordh, Gustav
By organisation
The Institute of TechnologyTCSLAB - Theoretical Computer Science Laboratory
In the same journal
Discrete Applied Mathematics
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 40 hits
ReferencesLink to record
Permanent link

Direct link