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arXiv 2013-04-17 0 views

Size of a 3-uniform linear hypergraph

Khare, Niraj

Original · EN

This article provides bounds on the size of a 3-uniform linear hypergraph with restricted matching number and maximum degree. In particular, we show that if a 3-uniform, linear family F has maximum matching size ν and maximum degree Δ such that Δ≥ 23/6ν(1+1/ν-1), then |F|≤ Δν.

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