Abstract
Supermodular and submodular functions have attracted a great deal of attention since the seminal paper of Lovász. Recently, supermodular functions were studied in the context of some optimal partition problems. We completely answer a question arisen there whether a certain partition function is supermodular.
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References
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Hwang, F.K., Liao, M.M. & Chen, C. Supermodularity in Various Partition Problems. Journal of Global Optimization 18, 275–282 (2000). https://doi.org/10.1023/A:1008397707916
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DOI: https://doi.org/10.1023/A:1008397707916