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- Mitch Phillipson, Catherine H. Yan, Jean Yeh
- Electr. J. Comb.
- 2013

The symmetry of the joint distribution of the numbers of crossings and nestings of length 2 has been observed in many combinatorial structures, including permutations , matchings, set partitions, linked partitions, and certain families of graphs. These results have been unified in the larger context of enumeration of northeast and southeast chains of length… (More)

- Pierre Bouchard, Hungyung Chang, Jun Ma, Jean Yeh, Yeong-Nan Yeh
- Electr. J. Comb.
- 2010

In this paper, we focus on a " local property " of permutations: value-peak. A permutation σ has a value-peak σ(i) if σ(i − 1) < σ(i) > σ(i + 1) for some i ∈ [2, n − 1]. Define V P (σ) as the set of value-peaks of the permutation σ. For any S ⊆ [3, n], define V P n (S) such that V P (σ) = S. Let P n = {S | V P n (S) = ∅}. we make the set P n into a poset P… (More)

- Po-Yi Huang, Jun Ma, Jean Yeh
- 2008

In this paper, let P n,n+k;≤n+k (resp. P n;≤s) denote the set of parking functions

- Po-Yi Huang, Jun Ma, Jean Yeh
- 2008

In this paper, let P l n;≤s;k denote a set of k-flaw preference sets (a 1 ,. .. , a n) with n parking spaces satisfying that 1 ≤ a i ≤ s for any i and a 1 = l and p l We use a combinatorial approach to the enumeration of k-flaw preference sets by their leading terms. The approach relies on bijections between the k-flaw preference sets and labeled rooted… (More)

The circular peak set of a permutation σ is the set {σ(i) | σ(i−1) < σ(i) > σ(i+1)}. In this paper, we focus on the enumeration problems for permutations by circular peak sets. Let cp n (S) denote the number of the permutations of order n which have the circular peak set S. For the case with |S| = 0, 1, 2, we derive the explicit formulas for cp n (S). We… (More)

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