18 citations · 28 across the 12 of their papers we have counts for
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math.CO2013
A determinant representation for generalized ballot and Fuss-Catalan numbers
James J. Y. Zhao
In this note we introduce a determinant and then give its evaluating formula. The determinant turns out to be a generalization of the well-known ballot and Fuss-Catalan numbers, wh…
cs.DS2013★ 18 cited
Expand and Contract: Sampling graphs with given degrees and other combinatorial families
James Y. Zhao
Sampling from combinatorial families can be difficult. However, complicated families can often be embedded within larger, simpler ones, for which easy sampling algorithms are known…
math.CO2013★ 1 cited
Koroljuk's formula for counting lattice paths revisited
James J. Y. Zhao
Koroljuk gave a summation formula for counting the number of lattice paths from to with -steps in the plane that stay strictly above the line $y=k(x-d…