Spectrum of Complex Networks

Spectrum of controlling and observing complex networks

Recent studies have made important advances in identifying sensor or driver nodes, through which we can observe or control a complex system. But the observational uncertainty induced bymeasurement noise and the energy required for control continue to be significant challenges in practical applications. Here we show that the variability of control energy and observational uncertainty for di�eren...

The Laplacian Spectrum of Complex Networks

The set of all eigenvalues of a characteristic matrix of a graph, also referred to as the spectrum, is a well-known topology retrieval method. In this paper, we study the spectrum of the Laplacian matrix of an observable part of the Internet graph at the IPlevel, extracted from traceroute measurements performed via RIPE NCC and PlanetLab. In order to investigate the factors influencing the Lapl...

Understanding Complex Networks Using Graph Spectrum

Complex networks are becoming indispensable parts of our lives. The Internet, wireless (cellular) networks, online social networks, and transportation networks are examples of some well-known complex networks around us. These networks generate an immense range of big data: weblogs, social media, the Internet traffic, which have increasingly drawn attentions from the computer science research co...

Optical Complex Spectrum Analyzer

The Role of Regulatory in Price Control and Spectrum Allocation to Competing Wireless Access Networks

With the rapid growth of wireless access networks, various providers offer their services using different technologies such as Wi-Fi, Wimax, 3G, 4G and so on. These networks compete for the scarce wireless spectrum. The spectrum is considered to be a scarce resource moderated by the spectrum allocation regulatory (“regulatory” for short) which is the governance body aiming to maximize the socia...