117 citations
- Dalian UniversityCN13 papers
- Harbin Institute of TechnologyCN4 papers
- Chinese Academy of SciencesCN3 papers
- Institute of Mathematics, Academia SinicaTW2 papers
- Kavli Institute for Theoretical SciencesCN2 papers
- Oak Ridge National LaboratoryUS2 papers
- Centre National d'Études SpatialesFR1 paper
- Dalian Maritime UniversityCN1 paper
- East China Normal UniversityCN1 paper
- European Space Research and Technology CentreNL1 paper
- Imperial College LondonGB1 paper
- Institute of Plasma PhysicsIT1 paper
5 papers · 1 filter
Symmetric Schroder paths and restricted involutions
Eva Y. P. Deng, Mark Dukes, Toufik Mansour +1
Let be the set of permutations in the symmetric group with prefix 12. This paper concerns the enumeration of involutions which avoid the set of patterns . We prese…
A Simple Proof of a Conjecture of Simion
Yi Wang
Simion had a unimodality conjecture concerning the number of lattice paths in a rectangular grid with the Ferrers diagram of a partition removed. Hildebrand recently showed the str…
Proof of a conjecture on unimodality
Yi Wang, Yeong-Nan Yeh
Let be a polynomial of degree , with nonnegative and non-decreasing coefficients. We settle the conjecture that for any positive real number , the coefficients of $P(x…
Log-concavity and LC-positivity
Yi Wang, Yeong-Nan Yeh
A triangle of nonnegative numbers is LC-positive if for each , the sequence of polynomials is -log-concave. It is double…
Crossings and Nestings of Matchings and Partitions
William Y. C. Chen, Eva Y. P. Deng, Rosena R. X. Du +2
We present results on the enumeration of crossings and nestings for matchings and set partitions. Using a bijection between partitions and vacillating tableaux, we show that if we…