Title
A variation of DS decomposition in set function optimization
Abstract
Any set function can be decomposed into the difference of two monotone nondecreasing submodular functions. This theorem plays an important role in the set function optimization theory. In this paper, we show a variation that any set function can be decomposed into the difference of two monotone nondecreasing supermodular functions. Meanwhile, we give an example in social network optimization and construct algorithmic solutions for the maximization problem of set functions with this variation of DS decomposition.
Year
DOI
Venue
2020
10.1007/s10878-020-00560-w
Journal of Combinatorial Optimization
Keywords
DocType
Volume
DS decomposition, Set function, Supermodular, Active friending, Social network optimization
Journal
40
Issue
ISSN
Citations 
1
1382-6905
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Xiang Li100.34
H. George Du200.34
Panos M. Pardalos314119.60