- Peking UniversityCN815 papers
- Tsinghua UniversityCN769 papers
- University of Science and Technology of ChinaCN768 papers
- Shandong UniversityCN712 papers
- Institute of High Energy PhysicsCN685 papers
- Sichuan UniversityCN661 papers
- China Center of Advanced Science and TechnologyCN658 papers
- Zhejiang UniversityCN658 papers
- Nanjing UniversityCN645 papers
- Wuhan UniversityCN631 papers
- University of Chinese Academy of SciencesCN630 papers
- Shanghai Jiao Tong UniversityCN624 papers
16 papers · 2 filters
The Butterfly Decomposition of Plane Trees
William Y. C. Chen, Nelson Y. Li, Louis W. Shapiro
We introduce the notion of doubly rooted plane trees and give a decomposition of these trees, called the butterfly decomposition which turns out to have many applications. From the…
Weighted Forms of Euler's Theorem
William Y. C. Chen, Kathy Q. Ji
In answer to a question of Andrews about finding combinatorial proofs of two identities in Ramanujan's "Lost" Notebook, we obtain weighted forms of Euler's theorem on partitions wi…
Noncrossing Trees and Noncrossing Graphs
William Y. C. Chen, Sherry H. F. Yan
We give a parity reversing involution on noncrossing trees that leads to a combinatorial interpretation of a formula on noncrossing trees and symmetric ternary trees in answer to a…
Matrix Identities on Weighted Partial Motzkin Paths
William Y. C. Chen, Nelson Y. Li, Louis W. Shapiro +1
We give a combinatorial interpretation of a matrix identity on Catalan numbers and the sequence which has been derived by Shapiro, Woan and Getu by using Ri…
Stanley's Zrank Problem on Skew Partitions
William Y. C. Chen, Arthur L. B. Yang
We present an affirmative answer to Stanley's zrank problem, namely, the zrank and rank are equal for any skew partition. We show that certain classes of restricted Cauchy matrices…
The Zrank Conjecture and Restricted Cauchy Matrices
Guo-Guang Yan, Arthur L. B. Yang, Joan J. Zhou
The rank of a skew partition , denoted , is the smallest number such that is a disjoint union of border strips. Let denote the skew Sch…