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Probability On Graphs


Probability On Graphs
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Analysis And Probability On Graphs


Analysis And Probability On Graphs
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Author : Shmuel Friedland
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-02-17

Analysis And Probability On Graphs written by Shmuel Friedland and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-17 with Mathematics categories.


Analysis and Probability on graphs is an introduction to random graphs, Markov chains on digraphs, entropy of Markov Chains, and discrete Lyapunov exponents and Hausdorff dimension, requiring only minimal background in probability, mathematical analysis, and graphs. This textbook includes constructive discussions about the motivation of basic concepts, and many worked-out problems in each chapter, making it ideal for classroom use or self-study.



Probability On Graphs


Probability On Graphs
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Author : Geoffrey Grimmett
language : en
Publisher: Cambridge University Press
Release Date : 2018-01-25

Probability On Graphs written by Geoffrey Grimmett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-25 with Mathematics categories.


A user-friendly introduction for mathematicians to some of the principal stochastic models near the interface of probability and physics.



Quantum Probability And Spectral Analysis Of Graphs


Quantum Probability And Spectral Analysis Of Graphs
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Author : Akihito Hora
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-05

Quantum Probability And Spectral Analysis Of Graphs written by Akihito Hora 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 2007-07-05 with Science categories.


This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding.



Introduction To Random Graphs


Introduction To Random Graphs
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Author : Alan Frieze
language : en
Publisher: Cambridge University Press
Release Date : 2016

Introduction To Random Graphs written by Alan Frieze and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.


The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.



Random Graphs And Complex Networks


Random Graphs And Complex Networks
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Author : Remco van der Hofstad
language : en
Publisher: Cambridge University Press
Release Date : 2017

Random Graphs And Complex Networks written by Remco van der Hofstad and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Computers categories.


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



Random Geometric Graphs


Random Geometric Graphs
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Author : Mathew Penrose
language : en
Publisher: Oxford University Press
Release Date : 2003

Random Geometric Graphs written by Mathew Penrose and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Computers categories.


This monograph provides and explains the mathematics behind geometric graph theory. Applications of this theory are used on the study of neural networks, spread of disease, astrophysics and spatial statistics.



Discrete Probability Models And Methods


Discrete Probability Models And Methods
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Author : Pierre Brémaud
language : en
Publisher: Springer
Release Date : 2017-01-31

Discrete Probability Models And Methods written by Pierre Brémaud and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-31 with Mathematics categories.


The emphasis in this book is placed on general models (Markov chains, random fields, random graphs), universal methods (the probabilistic method, the coupling method, the Stein-Chen method, martingale methods, the method of types) and versatile tools (Chernoff's bound, Hoeffding's inequality, Holley's inequality) whose domain of application extends far beyond the present text. Although the examples treated in the book relate to the possible applications, in the communication and computing sciences, in operations research and in physics, this book is in the first instance concerned with theory. The level of the book is that of a beginning graduate course. It is self-contained, the prerequisites consisting merely of basic calculus (series) and basic linear algebra (matrices). The reader is not assumed to be trained in probability since the first chapters give in considerable detail the background necessary to understand the rest of the book.



Random Graphs


Random Graphs
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Author : Béla Bollobás
language : en
Publisher: Cambridge University Press
Release Date : 2001-08-30

Random Graphs written by Béla Bollobás and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-30 with Mathematics categories.


This is a revised and updated version of the classic first edition.



Graph Colouring And The Probabilistic Method


Graph Colouring And The Probabilistic Method
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Author : Michael Molloy
language : en
Publisher: Springer Science & Business Media
Release Date : 2002

Graph Colouring And The Probabilistic Method written by Michael Molloy 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 2002 with Computers categories.


Over the past decade, many major advances have been made in the field of graph colouring via the probabilistic method. This monograph provides an accessible and unified treatment of these results, using tools such as the Lovasz Local Lemma and Talagrand's concentration inequality. The topics covered include: Kahn's proofs that the Goldberg-Seymour and List Colouring Conjectures hold asymptotically; a proof that for some absolute constant C, every graph of maximum degree Delta has a Delta+C total colouring; Johansson's proof that a triangle free graph has a O(Delta over log Delta) colouring; algorithmic variants of the Local Lemma which permit the efficient construction of many optimal and near-optimal colourings. This begins with a gentle introduction to the probabilistic method and will be useful to researchers and graduate students in graph theory, discrete mathematics, theoretical computer science and probability.



Random Walks On Infinite Graphs And Groups


Random Walks On Infinite Graphs And Groups
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Author : Wolfgang Woess
language : en
Publisher: Cambridge University Press
Release Date : 2000-02-13

Random Walks On Infinite Graphs And Groups written by Wolfgang Woess and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-13 with Mathematics categories.


The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a finitely generated group. The transition probabilities are assumed to be adapted to the underlying structure in some way that must be specified precisely in each case. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. Links with spectral theory and discrete potential theory are also discussed. This book will be essential reading for all researchers working in stochastic process and related topics.