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# The Expressive Power of Binary Submodular Functions

@article{Zivny2009TheEP, title={The Expressive Power of Binary Submodular Functions}, author={Stanislav Zivny and David A. Cohen and Peter Jeavons}, journal={Discrete Applied Mathematics}, year={2009}, volume={157}, pages={3347-3358} }

- Published 2009 in Discrete Applied Mathematics
DOI:10.1016/j.dam.2009.07.001

It has previously been an open problem whether all Boolean submodular functions can be decomposed into a sum of binary submodular functions over a possibly larger set of variables. This problem has been considered within several different contexts in computer science, including computer vision, artificial intelligence, and pseudo-Boolean optimisation. Using a connection between the expressive power of valued constraints and certain algebraic properties of functions, we answer this questionâ€¦Â CONTINUE READING

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