3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.CO2023
Testing Isomorphism of Graphs in Polynomial Time
Rui Xue
Given a graph , the graph obtained by adding, for each pair of vertices of , a unique vertex adjacent to both vertices is called the binding graph of . In this work,…
cs.CC2022
Description Graphs, Matrix-Power Stabilizations and Graph Isomorphism in Polynomial Time
Rui Xue
It is confirmed in this work that the graph isomorphism can be tested in polynomial time, which resolves a longstanding problem in the theory of computation. The contributions are…
cond-mat.quant-gas2009★ 3 cited
Exact nonlinear Bloch-state solutions for Bose-Einstein condensates in a periodic array of quantum wells
Rui Xue, Z. X. Liang, Weidong Li
A set of exact closed-form Bloch-state solutions to the stationary Gross-Pitaevskii equation are obtained for a Bose-Einstein condensate in a one-dimensional periodic array of quan…