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The DeVos-Goddyn-Mohar Theorem

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Structural Additive Theory

Part of the book series: Developments in Mathematics ((DEVM,volume 30))

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Abstract

The aim of this chapter is to prove the DeVos-Goddyn-Mohar (DGM) Theorem, which unifies a large area of Zero-Sum Combinatorics, linking results about subsequence sums alongside results for sumsets. Indeed, Kneser’s Theorem is simply one very particular case of the DeVos-Goddyn-Mohar Theorem, and it should later be put in comparison with the Partition Theorem as the two theorems share much overlap though neither one encompasses the entirety of the other.

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Grynkiewicz, D.J. (2013). The DeVos-Goddyn-Mohar Theorem. In: Structural Additive Theory. Developments in Mathematics, vol 30. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00416-7_13

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