English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
 
 
DownloadE-Mail
  Cyclic sequences of k-subsets with distinct consecutive unions

Müller, M., & Jimbo, M. (2008). Cyclic sequences of k-subsets with distinct consecutive unions. Discrete Mathematics, 308(2-3), 457-464. doi:10.1016/j.disc.2006.11.062.

Item is

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Müller, Meinard1, Author           
Jimbo, Masakazu, Author
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

Content

show
hide
Free keywords: -
 Abstract: In this paper, we investigate cyclic sequences which contain as elements all k-subsets of {0,1,...,n-1} exactly once such that the unions of any two consecutive k-subsets of this sequences are pairwise distinct. Furthermore, if Y is some prescribed subset of the power set of {0,1,...,n-1}, we require that all unions are in Y. In particular, we are interested in the case where Y consists of all subsets of order having the same parity as k. Among others, we show the existence of such cyclic sequences for k=2,3,...,7 and sufficiently large n. This kind of combinatorial problems is motivated from applications in combinatorial group testing. From our results, one obtains error detecting group testing procedures for items having the 2-consecutive positive property.

Details

show
hide
Language(s): eng - English
 Dates: 2009-03-032008
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 428173
DOI: 10.1016/j.disc.2006.11.062
Other: Local-ID: C125756E0038A185-7DBD696F626CCDEEC125753E0059742E-MuellerJ08_CycSeq_DM
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Discrete Mathematics
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 308 (2-3) Sequence Number: - Start / End Page: 457 - 464 Identifier: -