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Modern Graph Theory


Modern Graph Theory
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Modern Graph Theory


Modern Graph Theory
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Author : Bela Bollobas
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Modern Graph Theory 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 2013-12-01 with Mathematics categories.


An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including Szemerédis Regularity Lemma and its use, Shelahs extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. Moreover, the book contains over 600 well thought-out exercises: although some are straightforward, most are substantial, and some will stretch even the most able reader.



Modern Graph Theory


Modern Graph Theory
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Author : Béla Bollobás
language : en
Publisher:
Release Date : 2001

Modern Graph Theory 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 2001 with Graph theory categories.




Modern Graph Theory


Modern Graph Theory
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Author : Béla Bollobás
language : en
Publisher:
Release Date : 2005-01-01

Modern Graph Theory 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 2005-01-01 with Graph theory categories.




Graph Theory


Graph Theory
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Author : Bela Bollobas
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Graph Theory 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 2012-12-06 with Mathematics categories.


From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. ... The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. Each chapter starts at a measured and gentle pace. Classical results are proved and new insight is provided, with the examples at the end of each chapter fully supplementing the text... Even so this allows an introduction not only to some of the deeper results but, more vitally, provides outlines of, and firm insights into, their proofs. Thus in an elementary text book, we gain an overall understanding of well-known standard results, and yet at the same time constant hints of, and guidelines into, the higher levels of the subject. It is this aspect of the book which should guarantee it a permanent place in the literature." #Bulletin of the London Mathematical Society#1



Modern Graph Theory Algorithms With Python


Modern Graph Theory Algorithms With Python
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Author : Colleen M. Farrelly
language : en
Publisher: Packt Publishing Ltd
Release Date : 2024-06-07

Modern Graph Theory Algorithms With Python written by Colleen M. Farrelly and has been published by Packt Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-07 with Computers categories.


Solve challenging and computationally intensive analytics problems by leveraging network science and graph algorithms Key Features Learn how to wrangle different types of datasets and analytics problems into networks Leverage graph theoretic algorithms to analyze data efficiently Apply the skills you gain to solve a variety of problems through case studies in Python Purchase of the print or Kindle book includes a free PDF eBook Book DescriptionWe are living in the age of big data, and scalable solutions are a necessity. Network science leverages the power of graph theory and flexible data structures to analyze big data at scale. This book guides you through the basics of network science, showing you how to wrangle different types of data (such as spatial and time series data) into network structures. You’ll be introduced to core tools from network science to analyze real-world case studies in Python. As you progress, you’ll find out how to predict fake news spread, track pricing patterns in local markets, forecast stock market crashes, and stop an epidemic spread. Later, you’ll learn about advanced techniques in network science, such as creating and querying graph databases, classifying datasets with graph neural networks (GNNs), and mining educational pathways for insights into student success. Case studies in the book will provide you with end-to-end examples of implementing what you learn in each chapter. By the end of this book, you’ll be well-equipped to wrangle your own datasets into network science problems and scale solutions with Python.What you will learn Transform different data types, such as spatial data, into network formats Explore common network science tools in Python Discover how geometry impacts spreading processes on networks Implement machine learning algorithms on network data features Build and query graph databases Explore new frontiers in network science such as quantum algorithms Who this book is for If you’re a researcher or industry professional analyzing data and are curious about network science approaches to data, this book is for you. To get the most out of the book, basic knowledge of Python, including pandas and NumPy, as well as some experience working with datasets is required. This book is also ideal for anyone interested in network science and learning how graph algorithms are used to solve science and engineering problems. R programmers may also find this book helpful as many algorithms also have R implementations.



Graph Theory As I Have Known It


Graph Theory As I Have Known It
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Author : W. T. Tutte
language : en
Publisher: Oxford University Press
Release Date : 2012-05-24

Graph Theory As I Have Known It written by W. T. Tutte 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 2012-05-24 with Mathematics categories.


A unique introduction to graph theory, written by one of the founding fathers. Professor William Tutte, codebreaker and mathematician, details his experiences in the area and provides a fascinating insight into the processes leading to his proofs.



Graph Theory


Graph Theory
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Author : Reinhard Diestel
language : en
Publisher: Springer
Release Date : 2018-06-05

Graph Theory written by Reinhard Diestel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-05 with Mathematics categories.


This standard textbook of modern graph theory, now in its fifth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail. The book can be used as a reliable text for an introductory course, as a graduate text, and for self-study. From the reviews: “This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory.” Acta Scientiarum Mathematiciarum “Deep, clear, wonderful. This is a serious book about the heart of graph theory. It has depth and integrity.” Persi Diaconis & Ron Graham, SIAM Review “The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory.” Bulletin of the Institute of Combinatorics and its Applications “Succeeds dramatically ... a hell of a good book.” MAA Reviews “A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors.” Mathematika “ ... like listening to someone explain mathematics.” Bulletin of the AMS



Modern Applications Of Graph Theory


Modern Applications Of Graph Theory
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Author : Vadim Zverovich
language : en
Publisher: Oxford University Press
Release Date : 2021

Modern Applications Of Graph Theory written by Vadim Zverovich 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 2021 with Mathematics categories.


This book discusses many modern, cutting-edge applications of graph theory, such as traffic networks and Braess' paradox, navigable networks and optimal routing for emergency response, backbone/dominating sets in wireless sensor networks, placement of electric vehicle charging stations, pedestrian safety and graph-theoretic methods in molecular epidemiology. Because of the rapid growth of research in this field, the focus of the book is on the up-to-date development of the aforementioned applications. The book will be ideal for researchers, engineers, transport planners and emergency response specialists who are interested in the recent development of graph theory applications. Moreover, this book can be used as teaching material for postgraduate students because, in addition to up-to-date descriptions of the applications, it includes exercises and their solutions. Some of the exercises mimic practical, real-life situations. Advanced students in graph theory, computer science or molecular epidemiology may use the problems and research methods presented in this book to develop their final-year projects, master's theses or doctoral dissertations; however, to use the information effectively, special knowledge of graph theory would be required.



Advanced Applications Of Graph Theory In Modern Society


Advanced Applications Of Graph Theory In Modern Society
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Author : Madhumangal Pal
language : en
Publisher:
Release Date : 2020

Advanced Applications Of Graph Theory In Modern Society written by Madhumangal Pal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Graph theory categories.


"This book provides an advanced study of the applications graph theory. It also focuses on the relationship between of graph theory and complex networks"--



Handbook Of Research On Advanced Applications Of Graph Theory In Modern Society


Handbook Of Research On Advanced Applications Of Graph Theory In Modern Society
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Author : Pal, Madhumangal
language : en
Publisher: IGI Global
Release Date : 2019-08-30

Handbook Of Research On Advanced Applications Of Graph Theory In Modern Society written by Pal, Madhumangal and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-30 with Computers categories.


In the world of mathematics and computer science, technological advancements are constantly being researched and applied to ongoing issues. Setbacks in social networking, engineering, and automation are themes that affect everyday life, and researchers have been looking for new techniques in which to solve these challenges. Graph theory is a widely studied topic that is now being applied to real-life problems. The Handbook of Research on Advanced Applications of Graph Theory in Modern Society is an essential reference source that discusses recent developments on graph theory, as well as its representation in social networks, artificial neural networks, and many complex networks. The book aims to study results that are useful in the fields of robotics and machine learning and will examine different engineering issues that are closely related to fuzzy graph theory. Featuring research on topics such as artificial neural systems and robotics, this book is ideally designed for mathematicians, research scholars, practitioners, professionals, engineers, and students seeking an innovative overview of graphic theory.