11 citations · 11 across the 4 of their papers we have counts for
4 papers
On the cancellation-free antipode formula for the Malvenuto-Reutenauer Hopf Algebra
Da Xu, Houyi Yu
For the Malvenuto-Reutenauer Hopf algebra of permutations, we provide a cancellation-free antipode formula for any permutation of the form $ab1\cdots(b-1)(b+1)\cdots(a-1)(a+1)\cdot…
Generative Graph Convolutional Network for Growing Graphs
Da Xu, Chuanwei Ruan, Kamiya Motwani +3
Modeling generative process of growing graphs has wide applications in social networks and recommendation systems, where cold start problem leads to new nodes isolated from existin…
Large matrices and Virasoro Conjecture
Da Xu, Palle Jorgensen
In this paper, we first review one of difficult parts of the proof of Witten's conjecture by Kontsevich that had not been emphasized before. In the derivation of the KdV equations,…
Integrals of Irreducible Representations of Classical Groups
Da Xu, Palle Jorgensen
This paper is concerned with integrals which integrands are the monomials of matrix elements of irreducible representations of classical groups. Based on analysis on Young tableaux…