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Paper detail

Forbidden Configurations: Finding the number predicted by the Anstee-Sali Conjecture is NP-hard

Let F be a hypergraph and let forb(m,F) denote the maximum number of edges a hypergraph with m vertices can have if it doesn't contain F as a subhypergraph. A conjecture of Anstee and Sali predicts the asymptotic behaviour of forb(m,F) for fixed F. In this paper we prove that even finding this predicted asymptotic behaviour is an NP-hard problem, meaning that if the Anstee-Sali conjecture were true, finding the asymptotics of forb(m,F) would be NP-hard.

preprint2013arXivOpen access
Miguel Raggi
math.CODiscrete Mathematics
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Miguel Raggi

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