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Graph Spectra for Complex Networks
Analyzing the behavior of complex networks is an important element in the design of new man-made structures such as communication systems and biologically engineered molecules. Because any complex network can be represented by a graph, and therefore in turn by a matrix, graph theory has become a powerful tool in the investigation of network performance. This self-contained 2010 book provides a concise introduction to the theory of graph spectra and its applications to the study of complex networks. Covering a range of types of graphs and topics important to the analysis of complex systems, this guide provides the mathematical foundation needed to understand and apply spectral insight to real-world systems. In particular, the general properties of both the adjacency and Laplacian spectrum of graphs are derived and applied to complex networks. An ideal resource for researchers and students in communications networking as well as in physics and mathematics.
Performance Analysis of Communications Networks and Systems
This rigourous and self-contained book describes mathematical and, in particular, stochastic methods to assess the performance of networked systems. It consists of three parts. The first part is a review on probability theory. Part two covers the classical theory of stochastic processes (Poisson, renewal, Markov and queuing theory), which are considered to be the basic building blocks for performance evaluation studies. Part three focuses on the relatively new field of the physics of networks. This part deals with the recently obtained insights that many very different large complex networks - such as the Internet, World Wide Web, proteins, utility infrastructures, social networks - evolve and behave according to more general common scaling laws. This understanding is useful when assessing the end-to-end quality of communications services, for example, in Internet telephony, real-time video and interacting games. Containing problems and solutions, this book is ideal for graduate students taking courses in performance analysis.
Performance Analysis of Complex Networks and Systems
This rigorous, self-contained book describes mathematical and, in particular, stochastic and graph theoretic methods to assess the performance of complex networks and systems. It comprises three parts: the first is a review of probability theory; Part II covers the classical theory of stochastic processes (Poisson, Markov and queueing theory), which are considered to be the basic building blocks for performance evaluation studies; Part III focuses on the rapidly expanding new field of network science. This part deals with the recently obtained insight that many very different large complex networks – such as the Internet, World Wide Web, metabolic and human brain networks, utility infrastructures, social networks – evolve and behave according to general common scaling laws. This understanding is useful when assessing the end-to-end quality of Internet services and when designing robust and secure networks. Containing problems and solved solutions, the book is ideal for graduate students taking courses in performance analysis.
Data Communications Networking
Data Communications Networking provides an introduction to the principles of modern, multi-media types of communication and uncovers the underlying mechanisms of network concepts. As a considerable number of concepts appear in the two most prominent protocol suites, TCP/IP and ATM, Data Communications Networking presents the multitude of basic network concepts in an organized way that clarifies their interrelations. The importance of each concept is placed in the overall picture of a communications infrastructure. By contrasting the two main protocol suites, the different architectural viewpoints stand out, enriching a discussion on networking.
NETWORKING 2010
This book constitutes the refereed proceedings of the 9th International IFIP TC6 Networking Conference, NETWORKING 2010, held in Chennai, India, in May 2010. The 24 revised full papers and 9 work in progress papers were carefully reviewed and selected from 101 submissions for inclusion in the book. The papers cover a variety of research topics in the area of P2P and overlay networks; performance measurement; quality of service; ad hoc and sensor networks; wireless networks, addressing and routing; and applications and services.
A Second Course in Linear Algebra
A second course in linear algebra for undergraduates in mathematics, computer science, physics, statistics, and the biological sciences.
Performance Analysis of Complex Networks and Systems
Provides the mathematical, stochastic and graph theoretic methods to analyse the performance and robustness of complex networks and systems.
Graph Spectra for Complex Networks
This concise and self-contained introduction builds up the spectral theory of graphs from scratch, including linear algebra and the theory of polynomials. Covering several types of graphs, it provides the mathematical foundation needed to understand and apply spectral insight to real-world communications systems and complex networks.
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