26 citations · 87 across the 46 of their papers we have counts for
4 papers · 1 filter
Bijections on rooted trees with fixed size of maximal decreasing subtrees
Jang Soo Kim
Seo and Shin showed that the number of rooted trees on such that the maximal decreasing subtree with the same root has vertices is equal to the number of functions $f…
Proofs of two conjectures of Kenyon and Wilson on Dyck tilings
Jang Soo Kim
Recently, Kenyon and Wilson introduced a certain matrix in order to compute pairing probabilities of what they call the double-dimer model. They showed that the absolute value…
Enumeration formulas for generalized q-Euler numbers
Jang Soo Kim
We find an enumeration formula for a -Euler number which is a generalization of the -Euler number introduced by Han, Randrianarivony, and Zeng. We also give a combinatori…
Touchard-Riordan formulas, T-fractions, and Jacobi's triple product identity
Matthieu Josuat-Vergès, Jang Soo Kim
Touchard-Riordan-like formulas are some expressions appearing in enumeration problems and as moments of orthogonal polynomials. We begin this article with a new combinatorial appro…