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Paper   IPM / M / 14971
School of Mathematics
  Title:   Sets defining minimal vertex covers of uniform hypergraphs
  Author(s):  Mehrdad Nasernejad (Joint with K. Khashyarmanesh)
  Status:   To Appear
  Journal: Ars Combin.
  Supported by:  IPM
Suppose that V={1‎, ‎…‎, ‎n} is a non-empty set of n elements‎, ‎A={A1‎, ‎…‎, ‎Am} a non-empty family of m non-empty subsets of V‎, ‎and 2 ≤ dn a positive integer‎. ‎In this paper‎, ‎we investigate the question arises whether there exists a d-uniform hypergraph H with V(H)=V where A is the set whose elements are the minimal vertex cover sets of H‎.

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