Title
On the algebraic complexity of set equality and inclusion
Abstract
We present a linear-time algorithm in the algebraic computation tree model for checking whether two sets of integers are equal. The significance of this result is in the fact that it shows that set equality testing is computationally easier when the elements of the sets are restricted to be integers. In addition, we show a linear-time algorithm for checking set inclusion in a slightly extended computational model.
Year
DOI
Venue
2004
10.1016/j.ipl.2004.07.006
Inf. Process. Lett.
Keywords
Field
DocType
extended computational model,algebraic computation tree model,algebraic complexity,linear-time algorithm,set equality testing,computational models,computer model,computational complexity
Integer,Discrete mathematics,Combinatorics,Algebra of sets,Information processing,Symbolic computation,Decision tree model,Computational model,Time complexity,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
92
4
0020-0190
Citations 
PageRank 
References 
2
0.41
4
Authors
1
Name
Order
Citations
PageRank
Irit Katriel117613.72