Enhance the Efficiency of Heuristic Algorithm for Maximizing Modularity Q (2008)
Hu, Yanqing, Wu, Jinshan, Di, Zengru
Modularity Q is an important function for identifying community structure in complex networks. In this paper, we prove that the modularity maximization problem is equivalent to a nonconvex quadratic...
The Role of Weight on Community Structure of Networks (2006)
Fan, Ying, Li, Menghui, Zhang, Peng, Wu, Jinshan, Di, Zengru
The role of weight on the weighted networks is investigated by studying the effect of weight on community structures. We use weighted modularity $Q^w$ to evaluate the partitions and Weighted Extremal...
Accuracy and Precision of Methods for Community Identification in Weighted Networks (2006)
Fan, Ying, Li, Menghui, Zhang, Peng, Wu, Jinshan, Di, Zengru
Based on brief review of approaches for community identification and measurement for sensitivity characterization, the accuracy and precision of several approaches for detecting communities in...
Effects of Weight on Structure and Dynamics in Complex Networks (2006)
Li, Menghui, Fan, Ying, Wang, Dahui, Liu, Na, Li, Daqing, Wu, Jinshan, ...
Link weight is crucial in weighted complex networks. It provides additional dimension for describing and adjusting the properties of networks. The topological role of weight is studied by the effects...
The Community Structure of Econophysicist Collaboration Networks (2005)
Zhang, Peng, Li, Menghui, Wu, Jinshan, Di, Zengru, Fan, Ying
This paper uses a database of collaboration recording between Econophysics Scientists to study the community structure of this collaboration network, which with a single type of vertex and a type of...
Could a Classical Probability Theory Describe Quantum Systems? (2005)
Quantum Mechanics (QM) is a quantum probability theory based on the density matrix. The possibility of applying classical probability theory, which is based on the probability distribution...
Theory of Games on Quantum Objects (2005)
Effect of replacing the classical game object with a quantum object is analyzed. We find this replacement requires a throughout reformation of the framework of Game Theory. If we use density matrix...
Evolving Model of Weighted Networks Inspired by Scientific Collaboration Networks (2005)
Li, Menghui, Wu, Jinshan, Wang, Dahui, Zhou, Tao, Di, Zengru, Fan, Ying
Inspired by scientific collaboration networks, especially our empirical analysis of the network of econophysicists, an evolutionary model for weighted networks is proposed. Both degree-driven and...
Hamiltotian Formalism of Game Theory (2005)
A new representation of Game Theory is developed in this paper. State of players is represented by a density matrix, and payoff function is a set of hermitian operators, which when applied onto the...
Weighted networks of scientific communication: the measurement and geometrical role of weight (2004)
Li, Menghui, Fan, Ying, Chen, Jiawei, Gao, Liang, Di, Zengru, Wu, Jinshan
In order to take the weight of connection into consideration and to find a natural measurement of weight, we have collected papers in Econophysics and constructed a network of scientific...
A new mathematical representation of Game Theory II (2004)
In another paper with the same name\cite{frame}, we proposed a new representation of Game Theory, but most results are given by specific examples and argument. In this paper, we try to prove the...
Quantum Prisoner's Dilemma in the new representation (2004)
Using the representation introduced in our another paper\cite{frame}, the well-known Quantum Prisoner's Dilemma proposed in \cite{jens}, is reexpressed and calculated. By this example and the works...
An artificial game with equilibrium state of entangled strategy (2004)
Using the representation introduced in \cite{frame}, an artificial game in quantum strategy space is proposed and studied. Although it has well-known classical correspondence, which has classical...
A new mathematical representation of Game Theory, I (2004)
In this paper, we introduce a framework of new mathematical representation of Game Theory, including static classical game and static quantum game. The idea is to find a set of base vectors in every...
The Spread of Infectious Disease with Household-Structure on the Complex Networks (2004)
Liu, Jingzhou, Wu, Jinshan, Yang, Z. R.
In this paper we study the household-structure SIS epidemic spreading on general complex networks. The household structure gives us the way to distinguish inner and the outer infection rate. Unlike...
Network of Econophysicists: a weighted network to investigate the development of Econophysics (2004)
Fan, Ying, Li, Menghui, Chen, Jiawei, Gao, Liang, Di, Zengru, Wu, Jinshan
The development of Econophysics is studied from the perspective of scientific communication networks. Papers in Econophysics published from 1992 to 2003 are collected. Then a weighted and directed...
Physics of Econophysics (2004)
Wang, Yougui, Wu, Jinshan, Di, Zengru
Econophysics is a new area developed recently by the cooperation between economists, mathematicians and physicists. It's not a tool to predict future prices of stocks and exchange rates. It applies...
Division of Labor as the Result of Phase Transition (2002)
Wu, Jinshan, Di, Zengru, Yang, Z. R.
The emergence of labor division in multi-agent system is analyzed by the method of statistical physics. Considering a system consists of N homogeneous agents. Their behaviors are determined by the...