On Ryser's conjecture
Motivated by an old problem known as Ryser's Conjecture, we prove that for r = 4 and r = 5, there exists ∈ > 0 such that every r-partite r-uniform hypergraph H has a cover of size at most (r - ∈)v(H), where v(H) denotes the size of a largest matching in H.
Hlavní autoři: | Haxell, P, Scott, A |
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Médium: | Journal article |
Jazyk: | English |
Vydáno: |
2012
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