The Expressive Power of Binary Submodular Functions

  title={The Expressive Power of Binary Submodular Functions},
  author={Stanislav Zivny and David A. Cohen and Peter Jeavons},
  journal={Discrete Applied Mathematics},
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 question… CONTINUE READING
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