Title
Finding the maximum and minimum elements with one lie
Abstract
In this paper we deal with the problem of finding the smallest and the largest elements of a totally ordered set of size n using pairwise comparisons if one of the comparisons might be erroneous and prove a conjecture of Aigner stating that the minimum number of comparisons needed is 87n32+c for some constant c. We also address some related problems.
Year
DOI
Venue
2010
10.1016/j.dam.2010.01.010
Discrete Applied Mathematics
Keywords
Field
DocType
constant c,search,sorting,related problem,minimum number,minimum element,size n,largest element,pairwise comparison,erroneous information,total order
Ordered set,Pairwise comparison,Discrete mathematics,Combinatorics,Total order,Sorting,Conjecture,Mathematics
Journal
Volume
Issue
ISSN
158
9
Discrete Applied Mathematics
Citations 
PageRank 
References 
1
0.38
4
Authors
4
Name
Order
Citations
PageRank
Dániel Gerbner14621.61
Dömötör Pálvölgyi220229.14
Balázs Patkós38521.60
Gábor Wiener46410.65