28 citations · 35 across the 8 of their papers we have counts for
8 papers
From spherical chicken to the tipping points of a complex network
Gui-Yuan Shi, Rui-Jie Wu, Yi-Xiu Kong +1
The outbreak of epidemics, the emergence of the financial crisis, the collapse of ecosystem, and the explosive spreading of rumors, we face many challenges in today's world. These…
Analytical Results of k-core Pruning Process on Multi-layer Networks
Rui-jie Wu, Yi-Xiu Kong, Gui-Yuan Shi +1
Multi-layer networks or multiplex networks are generally considered as the networks that have the same set of vertices but different types of edges. Multi-layer networks are especi…
Using NonBacktracking Expansion to Analyze k-core Pruning Process
Rui-jie Wu, Yi-Xiu Kong, Gui-yuan Shi +1
We induce the NonBacktracking Expansion Branch method to analyze the k-core pruning process on the monopartite graph G which does not contain any self-loop or multi-edge. Different…
An Analytical Solution to the -core Pruning Process
Gui-Yuan Shi, Rui-Jie Wu, Yi-Xiu Kong +2
-core decomposition is widely used to identify the center of a large network, it is a pruning process in which the nodes with degrees less than are recursively removed. Alth…
Competition May Increase Social Happiness in Bipartite Matching Problem
Yi-Xiu Kong, Guang-Hui Yuan, Lei Zhou +2
Bipartite matching problem is to study two disjoint groups of agents who need to be matched pairwise. It can be applied to many real-world scenarios and explain many social phenome…
Instability in Stable Marriage Problem: Matching Unequally Numbered Men and Women
Gui-Yuan Shi, Yi-Xiu Kong, Bo-Lun Chen +2
The Stable Marriage Problem is to find a one-to-one matching for two equally sized sets of agents. Due to its widespread applications in the real world, especially the unique impor…
The mathematics of non-linear metrics for nested networks
Rui-Jie Wu, Gui-Yuan Shi, Yi-Cheng Zhang +1
Numerical analysis of data from international trade and ecological networks has shown that the non-linear fitness-complexity metric is the best candidate to rank nodes by importanc…
Analysis of ground state in random bipartite matching
Gui-Yuan Shi, Yi-Xiu Kong, Hao Liao +1
In human society, a lot of social phenomena can be concluded into a mathematical problem called the bipartite matching, one of the most well known model is the marriage problem pro…