# Optimization over Degree Sequences

@article{Deza2018OptimizationOD,
title={Optimization over Degree Sequences},
author={Antoine Deza and Asaf Levin and Syed Mohammad Meesum and Shmuel Onn},
journal={SIAM J. Discret. Math.},
year={2018},
volume={32},
pages={2067-2079}
}
• Published 13 June 2017
• Mathematics
• SIAM J. Discret. Math.
We introduce and study the problem of optimizing arbitrary functions over degree sequences of hypergraphs and multihypergraphs. We show that over multihypergraphs the problem can be solved in polynomial time. For hypergraphs, we show that deciding if a given sequence is the degree sequence of a 3-hypergraph is NP-complete, thereby solving a 30 year long open problem. This implies that optimization over hypergraphs is hard already for simple concave functions. In contrast, we show that for…
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