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math.CO2019★ 1 cited
Asymptotic enumeration of linear hypergraphs with given number of vertices and edges
Brendan D. McKay, Fang Tian
For , let be an integer. A hypergraph is -uniform if each edge is a set of vertices, and is said to be linear if two edges intersect in at most one v…
math.CO2019
Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence
Mikhail Isaev, Tejas Iyer, Brendan D. McKay
We prove an asymptotic formula for the number of orientations with given out-degree (score) sequence for a graph . The graph is assumed to have average degrees at least $n^{…