generating random networks and graphs

Download Book Generating Random Networks And Graphs in PDF format. You can Read Online Generating Random Networks And Graphs here in PDF, EPUB, Mobi or Docx formats.

Generating Random Networks And Graphs

Author : Alessia Annibale
ISBN : 9780198709893
Genre :
File Size : 62. 57 MB
Format : PDF, Mobi
Download : 560
Read : 777

Get This Book


Generating random networks efficiently and accurately is an important challenge for practical applications, and an interesting question for theoretical study. This book presents and discusses common methods of generating random graphs. It begins with approaches such as Exponential Random Graph Models, where the targeted probability of each network appearing in the ensemble is specified. This section also includes degree-preserving randomisation algorithms, where the aim is to generate networks with the correct number of links at each node, and care must be taken to avoid introducing a bias. Separately, it looks at growth style algorithms (e.g. preferential attachment) which aim to model a real process and then to analyse the resulting ensemble of graphs. It also covers how to generate special types of graphs including modular graphs, graphs with community structure and temporal graphs. The book is aimed at the graduate student or advanced undergraduate. It includes many worked examples and open questions making it suitable for use in teaching. Explicit pseudocode algorithms are included throughout the book to make the ideas straightforward to apply. With larger and larger datasets, it is crucial to have practical and well-understood tools. Being able to test a hypothesis against a properly specified control case is at the heart of the 'scientific method'. Hence, knowledge on how to generate controlled and unbiased random graph ensembles is vital for anybody wishing to apply network science in their research.

The Generation Of Random Networks And Graphs

Author : Coolen & Roberts
ISBN : 0191780170
Genre :
File Size : 51. 11 MB
Format : PDF, ePub
Download : 915
Read : 792

Get This Book



Random Graphs And Complex Networks

Author : Remco van der Hofstad
ISBN : 9781107172876
Genre : Computers
File Size : 53. 65 MB
Format : PDF
Download : 246
Read : 669

Get This Book


This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.

Large Networks And Graph Limits

Author : László Lovász
ISBN : 9780821890851
Genre : Mathematics
File Size : 36. 58 MB
Format : PDF, Docs
Download : 591
Read : 412

Get This Book


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.

Random Graph Dynamics

Author : Rick Durrett
ISBN : 9781139460880
Genre : Mathematics
File Size : 26. 88 MB
Format : PDF, ePub, Mobi
Download : 994
Read : 1076

Get This Book


The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter.

Information Networking Networking Technologies For Broadband And Mobile Networks

Author : Hyun-Kook Kahng
ISBN : 9783540259787
Genre : Computers
File Size : 41. 54 MB
Format : PDF, Docs
Download : 353
Read : 1171

Get This Book



Networks

Author : Mark Newman
ISBN : 9780191500701
Genre : Science
File Size : 77. 77 MB
Format : PDF
Download : 745
Read : 772

Get This Book


The scientific study of networks, including computer networks, social networks, and biological networks, has received an enormous amount of interest in the last few years. The rise of the Internet and the wide availability of inexpensive computers have made it possible to gather and analyze network data on a large scale, and the development of a variety of new theoretical tools has allowed us to extract new knowledge from many different kinds of networks. The study of networks is broadly interdisciplinary and important developments have occurred in many fields, including mathematics, physics, computer and information sciences, biology, and the social sciences. This book brings together for the first time the most important breakthroughs in each of these fields and presents them in a coherent fashion, highlighting the strong interconnections between work in different areas. Subjects covered include the measurement and structure of networks in many branches of science, methods for analyzing network data, including methods developed in physics, statistics, and sociology, the fundamentals of graph theory, computer algorithms, and spectral methods, mathematical models of networks, including random graph models and generative models, and theories of dynamical processes taking place on networks.

Gephi Cookbook

Author : Devangana Khokhar
ISBN : 9781783987412
Genre : Computers
File Size : 33. 51 MB
Format : PDF
Download : 447
Read : 258

Get This Book


If you want to learn network analysis and visualization along with graph concepts from scratch, then this book is for you. This is ideal for those of you with little or no understanding of Gephi and this domain, but will also be beneficial for those interested in expanding their knowledge and experience.

Fundamentals Of Brain Network Analysis

Author : Alex Fornito
ISBN : 9780124081185
Genre : Medical
File Size : 45. 59 MB
Format : PDF, Mobi
Download : 231
Read : 1209

Get This Book


Fundamentals of Brain Network Analysis is a comprehensive and accessible introduction to methods for unraveling the extraordinary complexity of neuronal connectivity. From the perspective of graph theory and network science, this book introduces, motivates and explains techniques for modeling brain networks as graphs of nodes connected by edges, and covers a diverse array of measures for quantifying their topological and spatial organization. It builds intuition for key concepts and methods by illustrating how they can be practically applied in diverse areas of neuroscience, ranging from the analysis of synaptic networks in the nematode worm to the characterization of large-scale human brain networks constructed with magnetic resonance imaging. This text is ideally suited to neuroscientists wanting to develop expertise in the rapidly developing field of neural connectomics, and to physical and computational scientists wanting to understand how these quantitative methods can be used to understand brain organization. Extensively illustrated throughout by graphical representations of key mathematical concepts and their practical applications to analyses of nervous systems Comprehensively covers graph theoretical analyses of structural and functional brain networks, from microscopic to macroscopic scales, using examples based on a wide variety of experimental methods in neuroscience Designed to inform and empower scientists at all levels of experience, and from any specialist background, wanting to use modern methods of network science to understand the organization of the brain

Probability On Trees And Networks

Author : Russell Lyons
ISBN : 9781316785331
Genre : Mathematics
File Size : 64. 95 MB
Format : PDF, Mobi
Download : 730
Read : 428

Get This Book


Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike.

Top Download:

Best Books