Random Geometric Graphs

Author: Mathew Penrose

Publisher: Courier Corporation

ISBN: 9780198506263

Category: Mathematics

Page: 330

View: 1606

This monograph sets out a body of mathematical theory for finite graphs with nodes placed randomly in Euclidean space and edges added to connect points that are close to each other. As an alternative to classical random graph models, these geometric graphs are relevant to the modelling ofreal-world networks having spatial content, arising in numerous applications such as wireless communications, parallel processing, classification, epidemiology, astronomy, and the internet. Aimed at graduate students and researchers in probability, combinatorics, statistics, and theoretical computer science, it covers topics such as edge and component counts, vertex degrees, cliques, colourings, connectivity, giant component phenomena, vertex ordering and partitioning problems. It alsoillustrates and extends the application to geometric probability of modern techniques including Stein's method, martingale methods and continuum percolation.
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Operator Calculus on Graphs

Theory and Applications in Computer Science

Author: René Schott,G Stacey Staples

Publisher: World Scientific

ISBN: 1908977574

Category: Mathematics

Page: 428

View: 1629

This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science. Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for tackling important real world problems related, but not limited to, wireless communications, neural networks, electrical circuits, transportation, and the world wide web. Examples are put forward in Mathematica throughout the book, together with packages for performing symbolic computations. Contents:Combinatorial Algebras and Their Properties:IntroductionCombinatorial AlgebraNorm Inequalities on Clifford AlgebrasCombinatorics and Graph Theory:Specialized Adjacency MatricesRandom GraphsGraph Theory and Quantum ProbabilityGeometric Graph ProcessesProbability on Algebraic Structures:Time-Homogeneous Random WalksDynamic Walks in Clifford AlgebrasIterated Stochastic IntegralsPartition-Dependent Stochastic MeasuresOperator Calculus:Appell Systems in Clifford AlgebrasOperator Homology and CohomologySymbolic Computations:Multivector-Level ComplexityBlade-Level ComplexityOperator Calculus Approach to Minimal Path ProblemsSymbolic Computations with Mathematica Readership: Graduate students and researchers in mathematics, physics and computer science. Keywords:Operator Calculus;Algebraic Combinatorics;Clifford Algebras;Algebraic Probability;Theoretical Computer ScienceKey Features:This book is the first to explore the boundaries among Clifford algebras, graph theory, quantum probability, and theoretical computer scienceThe combinatorial view of Clifford algebras is used to address problems in random graphs and graph processes with wide-ranging applications such as communication networks, electrical circuits, transportation, neural networks, and the world wide webThere is no competing literature along these lines
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Algorithms and Computation

17th International Symposium, ISAAC 2006, Kolkata, India, December 18-20, 2006, Proceedings

Author: Tetsuo Asano

Publisher: Springer Science & Business Media

ISBN: 3540496947

Category: Computers

Page: 766

View: 6652

This book constitutes the refereed proceedings of the 17th International Symposium on Algorithms and Computation, ISAAC 2006, held in Kolkata, India in December 2006. The 73 revised full papers presented were carefully reviewed and selected from 255 submissions. The papers are organized in topical sections on algorithms and data structures, online algorithms, approximation algorithm, graphs, computational geometry, computational complexity, network, optimization and biology, combinatorial optimization and quantum computing, as well as distributed computing and cryptography.
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Mathematical Foundations of Complex Networked Information Systems

Politecnico di Torino, Verrès, Italy 2009

Author: P.R. Kumar,Martin J. Wainwright,Riccardo Zecchina

Publisher: Springer

ISBN: 331916967X

Category: Mathematics

Page: 135

View: 4846

Introducing the reader to the mathematics beyond complex networked systems, these lecture notes investigate graph theory, graphical models, and methods from statistical physics. Complex networked systems play a fundamental role in our society, both in everyday life and in scientific research, with applications ranging from physics and biology to economics and finance. The book is self-contained, and requires only an undergraduate mathematical background.
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NETWORKING 2011

10th International IFIP TC 6 Networking Conference, Valencia, Spain, May 9-13, 2011, Proceedings

Author: Jordi Domingo-Pascual,Pietro Manzoni,Sergio Palazzo,Ana Pont,Caterina Scoglio

Publisher: Springer Science & Business Media

ISBN: 3642207561

Category: Business & Economics

Page: 473

View: 9050

Constitutes the refereed proceedings of the 10th International IFIP TC 6 Networking Conference held in Valencia, Spain, in May 2011. This title features the papers that are organized in topical sections on anomaly detection, content management, DTN and sensor networks, energy efficiency, mobility modeling, network science, and path diversity.
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Proceedings

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Electric circuits

Page: N.A

View: 1747

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Proceedings of the Seventh Workshop on Algorithm Engineering and Experiments and the Second Workshop on Analytic Algorithmics and Combinatorics

Author: Camil Demetrescu,Robert Sedgewick,Roberto Tamassia

Publisher: Society for Industrial and Applied Mathematics (SIAM)

ISBN: 9780898715965

Category: Computers

Page: 273

View: 5445

Presents the aim of the annual ALENEX workshop, which is to provide a forum for the presentation of original research in the implementation and experimental evaluation of algorithms and data structures.
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Spatial distributions

density-equalizing map projections, facility location, and two-dimensional networks

Author: Michael T. Gastner

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 553

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Analysis and Stochastics of Growth Processes and Interface Models

Author: Peter Mörters,Roger Moser,Mathew Penrose,Hartmut Schwetlick,Johannes Zimmer

Publisher: OUP Oxford

ISBN: 019155359X

Category: Mathematics

Page: 352

View: 2658

This book is a collection of topical survey articles by leading researchers in the fields of applied analysis and probability theory, working on the mathematical description of growth phenomena. Particular emphasis is on the interplay of the two fields, with articles by analysts being accessible for researchers in probability, and vice versa. Mathematical methods discussed in the book comprise large deviation theory, lace expansion, harmonic multi-scale techniques and homogenisation of partial differential equations. Models based on the physics of individual particles are discussed alongside models based on the continuum description of large collections of particles, and the mathematical theories are used to describe physical phenomena such as droplet formation, Bose-Einstein condensation, Anderson localization, Ostwald ripening, or the formation of the early universe. The combination of articles from the two fields of analysis and probability is highly unusual and makes this book an important resource for researchers working in all areas close to the interface of these fields.
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Amstat News

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Statistics

Page: N.A

View: 5512

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Choice

Publication of the Association of College and Research Libraries, a Division of the American Library Association

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Best books

Page: N.A

View: 7754

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The Random-Cluster Model

Author: Geoffrey R. Grimmett

Publisher: Springer Science & Business Media

ISBN: 3540328912

Category: Mathematics

Page: 378

View: 7060

The random-cluster model has emerged as a key tool in the mathematical study of ferromagnetism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from probability and geometry. The Random-Cluster Model contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems. The book includes treatment of the first-order (discontinuous) phase transition.
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Wahrscheinlichkeit

Author: Alʹbert Nikolaevich Shiri︠a︡ev,Hans Jürgen Engelbert

Publisher: N.A

ISBN: N.A

Category: Probabilities

Page: 592

View: 4042

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