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math.CO2014
Asymptotic enumeration of sparse uniform linear hypergraphs with given degrees
Vladimir Blinovsky, Catherine Greenhill
A hypergraph is simple if it has no loops and no repeated edges, and a hypergraph is linear if it is simple and each pair of edges intersects in at most one vertex. For ,…
math.CO2014
Erdös's Matching Conjecture and -wise -intersection Conjecture via Symmetrical Smoothing Method
Vladimir Blinovsky
We find the formula for the maximal cardinality of the family of -tuples from with does not have --matching. This formula after some analytical issues can…