A variation of DS decomposition in set function optimization

Xiang Li (), H. George Du () and Panos M. Pardalos ()
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Xiang Li: Santa Clara University
H. George Du: University of Texas at Austin
Panos M. Pardalos: University of Florida

Journal of Combinatorial Optimization, 2020, vol. 40, issue 1, No 3, 36-44

Abstract: 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.

Keywords: DS decomposition; Set function; Supermodular; Active friending; Social network optimization (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10878-020-00560-w

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