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math.CO2021★ 1 cited
The number of perfect matchings, and the nesting properties, of random regular graphs
Pu Gao
We prove that the number of perfect matchings in is asymptotically normal when is even, as , and . This is t…
math.CO2021
Linear-time uniform generation of random sparse contingency tables with specified marginals
Andrii Arman, Pu Gao, Nicholas Wormald
We give an algorithm that generates a uniformly random contingency table with specified marginals, i.e. a matrix with non-negative integer values and specified row and column sums.…