Titlebook: Nonlinear Combinatorial Optimization; Ding-Zhu Du,Panos M. Pardalos,Zhao Zhang Book 2019 Springer Nature Switzerland AG 2019 discrete conv

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Nonsubmodular Optimization,The nonsubmodular optimization is a hot research topic in the study of nonlinear combinatorial optimizations. We discuss several approaches to deal with such optimization problems, including supermodular degree, curvature, algorithms based on DS decomposition, and sandwich method.

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https://doi.org/10.1007/978-3-030-16194-1discrete convex analysis; discrete Newton methods; primal-dual methods with convex relaxation; submodul

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Composed Influence Maximization in Social Networks,n. However, when composed influence is considered, the corresponding problem becomes a nonsubmodular maximization. A composed influence results from a combination of at least two active members in the social network. To study this problem, a hypergraph model is introduced and hence different methodologies are involved.

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Nonlinear Combinatorial Optimization978-3-030-16194-1Series ISSN 1931-6828 Series E-ISSN 1931-6836

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