Structural balance is a large area of study in signed networks, and it is intrinsically a global property of the whole network. Computing global structural balance in signed networks, which has attracted some attention in recent years, is to measure how unbalanced a signed network is and it is a...

With the rapid development of the Internet and the promotion of mobile Internet, microblogs have become a major source and route of transmission for public opinion, including burst topics that are caused by emergencies. To facilitate real time mining of a large range of burst topics, in this...

The industry standard Black–Scholes option pricing formula is based on the current value of the underlying security and other fixed parameters of the model. The Black–Scholes formula, with a fixed volatility, cannot match the market’s option price; instead, it has come to be used as a...

The random walk approach has recently been widely employed to study the relations between the underlying structure and dynamic of complex systems. The mean first-passage time (MFPT) for random walks is a key index to evaluate the transport efficiency in a given system. In this paper we study...

Urban public traffic networks are typical complex systems. Understanding their evolution mechanism attracts much attention in recent years. Here, we propose that the evolution of urban public traffic network can be considered as a game process between two network manipulators, i.e., passengers...

We present a mean-field theory for the modified three-state voter model. We obtain analytical results in asymptotic states for a general transition matrix. Numerical simulations can be well described within the proposed formulations. Distributions for both central plateau and boundary layer can...

In this paper, a unique algorithm is proposed to detect overlapping communities in the un-weighted and weighted networks with considerable accuracy. The maximal cliques, overlapping vertex, bridge vertex and isolated vertex are introduced. First, all the maximal cliques are extracted by the...

This paper presents a novel method for the analysis of nonlinear text quality in Chinese language. Texts produced by university students in China were represented as scale-free networks (word adjacency model), from which typical network features such as the in/outdegree, clustering coefficient...

Self-organized criticality, a powerful concept, originated in 1987 as an extension of fractal geometries to thermodynamic systems in the vicinities of instabilities. The value of fractal methods can be greatly enhanced in realistic models that exploit accurate fractal values derived from...

The propagation of virus infection fronts has been typically modeled using a set of classical (noncohabitation) reaction–diffusion equations for interacting species. However, for some single-species systems it has been recently shown that noncohabitation reaction–diffusion equations may lead...