• Anti-Ramsey Number of Matchings in Hypergraphs 

      Özkahya, Lale; Young, Michael (Elsevier Science Bv, 2013)
      A k-matching in a hypergraph is a set of k edges such that no two of these edges intersect. The anti-Ramsey number of a k-matching in a complete s-uniform hypergraph H on n vertices, denoted by ar(n, s, k), is the smallest ...
    • On 3-Uniform Hypergraphs Without A Cycle Of A Given Length 

      Furedi, Zoltan; Ozkahya, Lale (Elsevier Science Bv, 2017)
      We study the maximum number of hyperedges in a 3-uniform hypergraph on n vertices that does not contain a Berge cycle of a given length l. In particular we prove that the upper bound for C2k+1-free hypergraphs is of the ...
    • On The Ratio Of Maximum And Minimum Degree In Maximal Intersecting Families 

      Nagy, Zoltan Lorant; Oezkahya, Late; Patkos, Balazs; Vizer, Mate (Elsevier Science Bv, 2013)
      To study how balanced or unbalanced a maximal intersecting family F subset of ((vertical bar n vertical bar) (r)) is we consider the ratio R(F) = Delta(F)/delta(F) of its maximum and minimum degree. We determine the order ...