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Current endeavors in community detection suffer from the resolution limit problem and can be quite expensive for large networks, especially those based on optimization schemes. We propose a conceptually different approach for multi-resolution community detection, by introducing the kernels from statistical literature into the graph, which mimic the node… (More)

- Qian-Ming Zhang, Xiao-Ke Xu, Yu-Xiao Zhu, Tao Zhou
- Scientific reports
- 2015

Numerous concise models such as preferential attachment have been put forward to reveal the evolution mechanisms of real-world networks, which show that real-world networks are usually jointly driven by a hybrid mechanism of multiplex features instead of a single pure mechanism. To get an accurate simulation for real networks, some researchers proposed a… (More)

- Graciano Dieck Kattas, F. Javier Pérez-Barbería, Michael Small, Xiao-Ke Xu, David M. Walker
- acta ethologica
- 2012

Unraveling complex interactions between animal species is of paramount importance to understand competition, facilitation, and community assembly processes. Using data from GPS positions of sheep (Ovis aries) and red deer (Cervus elaphus) grazing a moorland plot, we modeled the animal movement of each species as a function of the distance between… (More)

- Jie Zhang, Xiao-Ke Xu, Ping Li, Kai Zhang, Michael Small
- Chaos
- 2011

Defining the importance of nodes in a complex network has been a fundamental problem in analyzing the structural organization of a network, as well as the dynamical processes on it. Traditionally, the measures of node importance usually depend either on the local neighborhood or global properties of a network. Many real-world networks, however, demonstrate… (More)

- Xiao-Ke Xu, Graciano Dieck Kattas, Michael Small
- Physical review. E, Statistical, nonlinear, and…
- 2012

Collective motion of bird flocks can be explained via the hypothesis of many wrongs and/or a structured leadership mechanism. In pigeons, previous studies have shown that there is a well-defined hierarchical structure and certain specific individuals occupy more dominant positions, suggesting that leadership by the few individuals drives the behavior of the… (More)

- Hai-Feng Zhang, Zhi-Xi Wu, Xiao-Ke Xu, Michael Small, Lin Wang, Bing-Hong Wang
- Physical review. E, Statistical, nonlinear, and…
- 2013

To motivate more people to participate in vaccination campaigns, various subsidy policies are often supplied by government and the health sectors. However, these external incentives may also alter the vaccination decisions of the broader public, and hence the choice of incentive needs to be carefully considered. Since human behavior and the… (More)

- Ruoxi Xiang, Jie Zhang, Xiao-Ke Xu, Michael Small
- Chaos
- 2012

Recently, a framework for analyzing time series by constructing an associated complex network has attracted significant research interest. One of the advantages of the complex network method for studying time series is that complex network theory provides a tool to describe either important nodes, or structures that exist in the networks, at different… (More)

- Xiao-Ke Xu, Jie Zhang, Junfeng Sun, Michael Small
- Physical review. E, Statistical, nonlinear, and…
- 2009

We find that traditional statistics for measuring degree mixing are strongly affected by superrich nodes. To counteract and measure the effect of superrich nodes, we propose a paradigm to quantify the mixing pattern of a real network in which different mixing patterns may appear among low-degree nodes and among high-degree nodes. This paradigm and the… (More)

- Xiao Fan Liu, Xiao-Ke Xu, Michael Small, Chi K. Tse
- PloS one
- 2011

Stationary complex networks have been extensively studied in the last ten years. However, many natural systems are known to be continuously evolving at the local ("microscopic") level. Understanding the response to targeted attacks of an evolving network may shed light on both how to design robust systems and finding effective attack strategies. In this… (More)

- Graciano Dieck Kattas, Xiao-Ke Xu, Michael Small
- Chaos
- 2012

Mathematical models for systems of interacting agents using simple local rules have been proposed and shown to exhibit emergent swarming behavior. Most of these models are constructed by intuition or manual observations of real phenomena, and later tuned or verified to simulate desired dynamics. In contrast to this approach, we propose using a model that… (More)

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