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- William Y. C. Chen11 profiles70 · h 30
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- Xueliang Li2 profiles24 · h 40
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- Institute of High Energy PhysicsCN37 papers
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- Chinese Academy of SciencesCN26 papers
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- China Center of Advanced Science and TechnologyCN20 papers
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5 papers · 2 filters
Combinatorial Telescoping for an Identity of Andrews on Parity in Partitions
William Y. C. Chen, Daniel K. Du, Charles B. Mei
Following the method of combinatorial telescoping for alternating sums given by Chen, Hou and Mu, we present a combinatorial telescoping approach to partition identities on sums of…
Oscillating Rim Hook Tableaux and Colored Matchings
William Y. C. Chen, Peter L. Guo
Motivated by the question of finding a type B analogue of the bijection between oscillating tableaux and matchings, we find a correspondence between oscillating m-rim hook tableaux…
On Han's Hook Length Formulas for Trees
William Y. C. Chen, Oliver X. Q. Gao, Peter L. Guo
Recently, Han obtained two hook length formulas for binary trees and asked for combinatorial proofs. One of Han's formulas has been generalized to k-ary trees by Yang. Sagan has fo…
Nordhaus-Gaddum-type theorem for the rainbow vertex-connection number of a graph
Lily Chen, Xueliang Li, Mengmeng Liu
A vertex-colored graph is rainbow vertex-connected if any pair of distinct vertices are connected by a path whose internal vertices have distinct colors. The rainbow vertex-con…
The generalized 3-connectivity of Cartesian product graphs
Hengzhe Li, Xueliang Li, Yuefang Sun
The generalized connectivity of a graph, which was introduced recently by Chartrand et al., is a generalization of the concept of vertex connectivity. Let be a nonempty set of…