Graph Spectra For Complex Networks

Author: Piet van Mieghem
Editor: Cambridge University Press
ISBN: 1139492276
Size: 16,85 MB
Format: PDF, Docs
Read: 412
Download

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.

Graph Spectra For Complex Networks

Author: Piet van Mieghem
Editor: Cambridge University Press
ISBN: 9781107411470
Size: 18,22 MB
Format: PDF, ePub, Docs
Read: 461
Download

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 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.

Graph Spectra For Complex Networks

Author: Piet Van Mieghem
Editor:
ISBN: 9780511992445
Size: 19,29 MB
Format: PDF, ePub, Mobi
Read: 814
Download

A concise and self-contained 2010 introduction to the theory of graph spectra and its applications to the study of complex networks.

Complex Networks

Author: B. S. Manoj
Editor: Prentice Hall
ISBN: 0134787129
Size: 17,87 MB
Format: PDF, Kindle
Read: 593
Download

The Up-to-Date Guide to Complex Networks for Students, Researchers, and Practitioners Networks with complex and irregular connectivity patterns appear in biology, chemistry, communications, social networks, transportation systems, power grids, the Internet, and many big data applications. Complex Networks offers a novel engineering perspective on these networks, focusing on their key communications, networking, and signal processing dimensions. Three leading researchers draw on recent advances to illuminate the design and characterization of complex computer networks and graph signal processing systems. The authors cover both the fundamental concepts underlying graph theory and complex networks, as well as current theory and research. They discuss spectra and signal processing in complex networks, graph signal processing approaches for extracting information from structural data, and advanced techniques for multiscale analysis. What makes networks complex, and how to successfully characterize them Graph theory foundations, definitions, and concepts Full chapters on small-world, scale-free, small-world wireless mesh, and small-world wireless sensor networks Complex network spectra and graph signal processing concepts and techniques Multiscale analysis via transforms and wavelets

Analysis Of Complex Networks

Author: Matthias Dehmer
Editor: John Wiley & Sons
ISBN: 3527627995
Size: 12,62 MB
Format: PDF, Kindle
Read: 466
Download

Mathematical problems such as graph theory problems are of increasing importance for the analysis of modelling data in biomedical research such as in systems biology, neuronal network modelling etc. This book follows a new approach of including graph theory from a mathematical perspective with specific applications of graph theory in biomedical and computational sciences. The book is written by renowned experts in the field and offers valuable background information for a wide audience.

Complex Graphs And Networks

Author: Fan R. K. Chung
Editor: American Mathematical Soc.
ISBN: 0821836579
Size: 20,29 MB
Format: PDF, ePub, Mobi
Read: 270
Download

Through examples of large complex graphs in realistic networks, research in graph theory has been forging ahead into exciting new directions. Graph theory has emerged as a primary tool for detecting numerous hidden structures in various information networks, including Internet graphs, social networks, biological networks, or, more generally, any graph representing relations in massive data sets. How will we explain from first principles the universal and ubiquitous coherence in the structure of these realistic but complex networks? In order to analyze these large sparse graphs, we use combinatorial, probabilistic, and spectral methods, as well as new and improved tools to analyze these networks. The examples of these networks have led us to focus on new, general, and powerful ways to look at graph theory. The book, based on lectures given at the CBMS Workshop on the Combinatorics of Large Sparse Graphs, presents new perspectives in graph theory and helps to contribute to a sound scientific foundation for our understanding of discrete networks that permeate this information age.

Performance Analysis Of Complex Networks And Systems

Author: Piet Van Mieghem
Editor: Cambridge University Press
ISBN: 1107058600
Size: 16,37 MB
Format: PDF, Docs
Read: 814
Download

Provides the mathematical, stochastic and graph theoretic methods to analyse the performance and robustness of complex networks and systems.

An Introduction To The Theory Of Graph Spectra

Author: Dragoš Cvetković
Editor: Cambridge University Press
ISBN: 9780521118392
Size: 11,75 MB
Format: PDF, ePub, Mobi
Read: 568
Download

This introductory text explores the theory of graph spectra: a topic with applications across a wide range of subjects, including computer science, quantum chemistry and electrical engineering. The spectra examined here are those of the adjacency matrix, the Seidel matrix, the Laplacian, the normalized Laplacian and the signless Laplacian of a finite simple graph. The underlying theme of the book is the relation between the eigenvalues and structure of a graph. Designed as an introductory text for graduate students, or anyone using the theory of graph spectra, this self-contained treatment assumes only a little knowledge of graph theory and linear algebra. The authors include many new developments in the field which arise as a result of rapidly expanding interest in the area. Exercises, spectral data and proofs of required results are also provided. The end-of-chapter notes serve as a practical guide to the extensive bibliography of over 500 items.

Complex Networks Their Applications V

Author: Hocine Cherifi
Editor: Springer
ISBN: 3319509012
Size: 19,59 MB
Format: PDF, ePub, Mobi
Read: 340
Download

This book highlights cutting-edge research in the field of network science, offering scientists, researchers and graduate students a unique opportunity to catch up on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the fifth International Workshop on Complex Networks & their Applications (COMPLEX NETWORKS 2016), which took place in Milan during the last week of November 2016. The carefully selected papers are divided into 11 sections reflecting the diversity and richness of research areas in the field. More specifically, the following topics are covered: Network models; Network measures; Community structure; Network dynamics; Diffusion, epidemics and spreading processes; Resilience and control; Network visualization; Social and political networks; Networks in finance and economics; Biological and ecological networks; and Network analysis.

Large Networks And Graph Limits

Author: László Lovász
Editor: American Mathematical Soc.
ISBN: 0821890859
Size: 13,25 MB
Format: PDF, Docs
Read: 921
Download

Recently, it became apparent that a large number of the most interesting structures and phenomena of the world can be described by networks. To develop a mathematical theory of very large networks is an important challenge. This book describes one recent approach to this theory, the limit theory of graphs which has emerged over the last decade.