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An Overview of Submodular Optimization: Single- and Multi-Objectives

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Nonlinear Combinatorial Optimization

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 147))

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Abstract

We offer an overview on submodular optimization for both single- and multiple-objectives, with the moderate goal to highlight the different angles in interpreting submodularity and associated concepts.

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Acknowledgements

The first author’s research is supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) (No. 06446), and the Natural Science Foundation of China (NSFC) (No. 11771386 and No. 11728104). The second author’s research is supported by the NSFC (No. 11771386 and No. 11728104). The third author’s research was supported by the NSFC (No. 11501412).

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Correspondence to Donglei Du .

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Du, D., Han, Q., Wu, C. (2019). An Overview of Submodular Optimization: Single- and Multi-Objectives. In: Du, DZ., Pardalos, P., Zhang, Z. (eds) Nonlinear Combinatorial Optimization. Springer Optimization and Its Applications, vol 147. Springer, Cham. https://doi.org/10.1007/978-3-030-16194-1_3

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