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Handbook Of Large Scale Random Networks

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Handbook Of Large Scale Random Networks

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Author : Bela Bollobas
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-17

Handbook Of Large Scale Random Networks written by Bela Bollobas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-17 with Mathematics categories.

With the advent of digital computers more than half a century ago, - searchers working in a wide range of scienti?c disciplines have obtained an extremely powerful tool to pursue deep understanding of natural processes in physical, chemical, and biological systems. Computers pose a great ch- lenge to mathematical sciences, as the range of phenomena available for rigorous mathematical analysis has been enormously expanded, demanding the development of a new generation of mathematical tools. There is an explosive growth of new mathematical disciplines to satisfy this demand, in particular related to discrete mathematics. However, it can be argued that at large mathematics is yet to provide the essential breakthrough to meet the challenge. The required paradigm shift in our view should be compa- ble to the shift in scienti?c thinking provided by the Newtonian revolution over 300 years ago. Studies of large-scale random graphs and networks are critical for the progress, using methods of discrete mathematics, probabil- tic combinatorics, graph theory, and statistical physics. Recent advances in large scale random network studies are described in this handbook, which provides a signi?cant update and extension - yond the materials presented in the “Handbook of Graphs and Networks” published in 2003 by Wiley. The present volume puts special emphasis on large-scale networks and random processes, which deemed as crucial for - tureprogressinthe?eld. Theissuesrelatedtorandomgraphsandnetworks pose very di?cult mathematical questions.

Handbook Of Large Scale Random Networks

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Author : Béla Bollobás
language : en
Publisher:
Release Date : 2009

Handbook Of Large Scale Random Networks written by Béla Bollobás and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Combinatorial analysis categories.

This handbook describes advances in large scale network studies that have taken place in the past 5 years since the publication of the Handbook of Graphs and Networks in 2003. It covers all aspects of large-scale networks, including mathematical foundations and rigorous results of random graph theory, modeling and computational aspects of large-scale networks, as well as areas in physics, biology, neuroscience, sociology and technical areas. Applications range from microscopic to mesoscopic and macroscopic models.The book is based on the material of the NSF workshop on Large-scale Random Graphs held in Budapest in 2006, at the Alfréd Rényi Institute of Mathematics, organized jointly with the University of Memphis

Handbook Of Large Scale Random Networks

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Author : Bela Bollobas
language : en
Publisher: Springer
Release Date : 2010-12-02

Handbook Of Large Scale Random Networks written by Bela Bollobas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-02 with Mathematics categories.

Handbook Of Graphs And Networks

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Author : Stefan Bornholdt
language : en
Publisher: John Wiley & Sons
Release Date : 2006-03-06

Handbook Of Graphs And Networks written by Stefan Bornholdt and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-06 with Science categories.

Complex interacting networks are observed in systems from such diverse areas as physics, biology, economics, ecology, and computer science. For example, economic or social interactions often organize themselves in complex network structures. Similar phenomena are observed in traffic flow and in communication networks as the internet. In current problems of the Biosciences, prominent examples are protein networks in the living cell, as well as molecular networks in the genome. On larger scales one finds networks of cells as in neural networks, up to the scale of organisms in ecological food webs. This book defines the field of complex interacting networks in its infancy and presents the dynamics of networks and their structure as a key concept across disciplines. The contributions present common underlying principles of network dynamics and their theoretical description and are of interest to specialists as well as to the non-specialized reader looking for an introduction to this new exciting field. Theoretical concepts include modeling networks as dynamical systems with numerical methods and new graph theoretical methods, but also focus on networks that change their topology as in morphogenesis and self-organization. The authors offer concepts to model network structures and dynamics, focussing on approaches applicable across disciplines.

Erd S Centennial

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Author : László Lovász
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-24

Erd S Centennial written by László Lovász and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-24 with Mathematics categories.

Paul Erdös was one of the most influential mathematicians of the twentieth century, whose work in number theory, combinatorics, set theory, analysis, and other branches of mathematics has determined the development of large areas of these fields. In 1999, a conference was organized to survey his work, his contributions to mathematics, and the far-reaching impact of his work on many branches of mathematics. On the 100th anniversary of his birth, this volume undertakes the almost impossible task to describe the ways in which problems raised by him and topics initiated by him (indeed, whole branches of mathematics) continue to flourish. Written by outstanding researchers in these areas, these papers include extensive surveys of classical results as well as of new developments.

Algorithms And Models For The Web Graph

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Author : David F. Gleich
language : en
Publisher: Springer
Release Date : 2015-12-08

Algorithms And Models For The Web Graph written by David F. Gleich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Computers categories.

This book constitutes the proceedings of the 12th International Workshop on Algorithms and Models for the Web Graph, WAW 2015, held in Eindhoven, The Netherlands, in December 2015. The 15 full papers presented in this volume were carefully reviewed and selected from 24 submissions. They are organized in topical sections named: properties of large graph models, dynamic processes on large graphs, and properties of PageRank on large graphs.

Artificial General Intelligence

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Author : Jürgen Schmidhuber
language : en
Publisher: Springer
Release Date : 2011-07-19

Artificial General Intelligence written by Jürgen Schmidhuber and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-19 with Computers categories.

This book constitutes the refereed proceedings of the 4th International Conference on Artificial General Intelligence, AGI 2011, held in Mountain View, CA, USA, in August 2011. The 28 revised full papers and 26 short papers were carefully reviewed and selected from 103 submissions. The papers are written by leading academic and industry researchers involved in scientific and engineering work and focus on the creation of AI systems possessing general intelligence at the human level and beyond.

Cognitive Phase Transitions In The Cerebral Cortex Enhancing The Neuron Doctrine By Modeling Neural Fields

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Author : Robert Kozma
language : en
Publisher: Springer
Release Date : 2015-10-30

Cognitive Phase Transitions In The Cerebral Cortex Enhancing The Neuron Doctrine By Modeling Neural Fields written by Robert Kozma and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-30 with Technology & Engineering categories.

This intriguing book was born out of the many discussions the authors had in the past 10 years about the role of scale-free structure and dynamics in producing intelligent behavior in brains. The microscopic dynamics of neural networks is well described by the prevailing paradigm based in a narrow interpretation of the neuron doctrine. This book broadens the doctrine by incorporating the dynamics of neural fields, as first revealed by modeling with differential equations (K-sets). The book broadens that approach by application of random graph theory (neuropercolation). The book concludes with diverse commentaries that exemplify the wide range of mathematical/conceptual approaches to neural fields. This book is intended for researchers, postdocs, and graduate students, who see the limitations of network theory and seek a beachhead from which to embark on mesoscopic and macroscopic neurodynamics.

Building Bridges Ii

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Author : Imre Bárány
language : en
Publisher: Springer Nature
Release Date : 2020-02-04

Building Bridges Ii written by Imre Bárány and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-04 with Mathematics categories.

This volume collects together research and survey papers written by invited speakers of the conference celebrating the 70th birthday of László Lovász. The topics covered include classical subjects such as extremal graph theory, coding theory, design theory, applications of linear algebra and combinatorial optimization, as well as recent trends such as extensions of graph limits, online or statistical versions of classical combinatorial problems, and new methods of derandomization. László Lovász is one of the pioneers in the interplay between discrete and continuous mathematics, and is a master at establishing unexpected connections, “building bridges” between seemingly distant fields. His invariably elegant and powerful ideas have produced new subfields in many areas, and his outstanding scientific work has defined and shaped many research directions in the last 50 years. The 14 contributions presented in this volume, all of which are connected to László Lovász's areas of research, offer an excellent overview of the state of the art of combinatorics and related topics and will be of interest to experienced specialists as well as young researchers.

Advanced Data Mining And Applications

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Author : Gao Cong
language : en
Publisher: Springer
Release Date : 2017-10-30

Advanced Data Mining And Applications written by Gao Cong and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-30 with Computers categories.

This book constitutes the refereed proceedings of the 13th International Conference on Advanced Data Mining and Applications, ADMA 2017, held in Singapore in November 2017. The 20 full and 38 short papers presented in this volume were carefully reviewed and selected from 118 submissions. The papers were organized in topical sections named: database and distributed machine learning; recommender system; social network and social media; machine learning; classification and clustering methods; behavior modeling and user profiling; bioinformatics and medical data analysis; spatio-temporal data; natural language processing and text mining; data mining applications; applications; and demos.

Handbook Of Large Scale Random Networks

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