Mathematical Foundations And Applications Of Graph Entropy

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Mathematical Foundations and Applications of Graph Entropy

Author : Matthias Dehmer
Publisher : John Wiley & Sons
ISBN 13 : 3527339094
Total Pages : 298 pages
Book Rating : 4.5/5 (273 download)

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Book Synopsis Mathematical Foundations and Applications of Graph Entropy by : Matthias Dehmer

Download or read book Mathematical Foundations and Applications of Graph Entropy written by Matthias Dehmer and published by John Wiley & Sons. This book was released on 2017-09-12 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This latest addition to the successful Network Biology series presents current methods for determining the entropy of networks, making it the first to cover the recently established Quantitative Graph Theory. An excellent international team of editors and contributors provides an up-to-date outlook for the field, covering a broad range of graph entropy-related concepts and methods. The topics range from analyzing mathematical properties of methods right up to applying them in real-life areas. Filling a gap in the contemporary literature this is an invaluable reference for a number of disciplines, including mathematicians, computer scientists, computational biologists, and structural chemists.

Quantitative Graph Theory

Author : Matthias Dehmer
Publisher : CRC Press
ISBN 13 : 1466584513
Total Pages : 530 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Quantitative Graph Theory by : Matthias Dehmer

Download or read book Quantitative Graph Theory written by Matthias Dehmer and published by CRC Press. This book was released on 2014-10-27 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book devoted exclusively to quantitative graph theory, Quantitative Graph Theory: Mathematical Foundations and Applications presents and demonstrates existing and novel methods for analyzing graphs quantitatively. Incorporating interdisciplinary knowledge from graph theory, information theory, measurement theory, and statistical techniques, this book covers a wide range of quantitative-graph theoretical concepts and methods, including those pertaining to real and random graphs such as: Comparative approaches (graph similarity or distance) Graph measures to characterize graphs quantitatively Applications of graph measures in social network analysis and other disciplines Metrical properties of graphs and measures Mathematical properties of quantitative methods or measures in graph theory Network complexity measures and other topological indices Quantitative approaches to graphs using machine learning (e.g., clustering) Graph measures and statistics Information-theoretic methods to analyze graphs quantitatively (e.g., entropy) Through its broad coverage, Quantitative Graph Theory: Mathematical Foundations and Applications fills a gap in the contemporary literature of discrete and applied mathematics, computer science, systems biology, and related disciplines. It is intended for researchers as well as graduate and advanced undergraduate students in the fields of mathematics, computer science, mathematical chemistry, cheminformatics, physics, bioinformatics, and systems biology.

Modern and Interdisciplinary Problems in Network Science

Author : Zengqiang Chen
Publisher : CRC Press
ISBN 13 : 1351237284
Total Pages : 276 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Modern and Interdisciplinary Problems in Network Science by : Zengqiang Chen

Download or read book Modern and Interdisciplinary Problems in Network Science written by Zengqiang Chen and published by CRC Press. This book was released on 2018-09-05 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern and Interdisciplinary Problems in Network Science: A Translational Research Perspective covers a broad range of concepts and methods, with a strong emphasis on interdisciplinarity. The topics range from analyzing mathematical properties of network-based methods to applying them to application areas. By covering this broad range of topics, the book aims to fill a gap in the contemporary literature in disciplines such as physics, applied mathematics and information sciences.

Intelligent Computing

Author : Kohei Arai
Publisher : Springer Nature
ISBN 13 : 3030522431
Total Pages : 721 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Intelligent Computing by : Kohei Arai

Download or read book Intelligent Computing written by Kohei Arai and published by Springer Nature. This book was released on 2020-07-03 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the core areas of computing and their applications in the real world. Presenting papers from the Computing Conference 2020 covers a diverse range of research areas, describing various detailed techniques that have been developed and implemented. The Computing Conference 2020, which provided a venue for academic and industry practitioners to share new ideas and development experiences, attracted a total of 514 submissions from pioneering academic researchers, scientists, industrial engineers and students from around the globe. Following a double-blind, peer-review process, 160 papers (including 15 poster papers) were selected to be included in these proceedings. Featuring state-of-the-art intelligent methods and techniques for solving real-world problems, the book is a valuable resource and will inspire further research and technological improvements in this important area.

ICICKM 2018 15th International Conference on Intellectual Capital Knowledge Management & Organisational Learning

Author : Prof. Shaun Pather
Publisher : Academic Conferences and publishing limited
ISBN 13 : 1912764105
Total Pages : pages
Book Rating : 4.9/5 (127 download)

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Book Synopsis ICICKM 2018 15th International Conference on Intellectual Capital Knowledge Management & Organisational Learning by : Prof. Shaun Pather

Download or read book ICICKM 2018 15th International Conference on Intellectual Capital Knowledge Management & Organisational Learning written by Prof. Shaun Pather and published by Academic Conferences and publishing limited. This book was released on 2018-11-29 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Theory of Entropy

Author : Nathaniel F. G. Martin
Publisher : Cambridge University Press
ISBN 13 : 9780521177382
Total Pages : 292 pages
Book Rating : 4.1/5 (773 download)

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Book Synopsis Mathematical Theory of Entropy by : Nathaniel F. G. Martin

Download or read book Mathematical Theory of Entropy written by Nathaniel F. G. Martin and published by Cambridge University Press. This book was released on 2011-06-02 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent 1981 treatment of the mathematical theory of entropy gives an accessible exposition its application to other fields.

Maximum-Entropy Networks

Author : Tiziano Squartini
Publisher : Springer
ISBN 13 : 3319694383
Total Pages : 116 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Maximum-Entropy Networks by : Tiziano Squartini

Download or read book Maximum-Entropy Networks written by Tiziano Squartini and published by Springer. This book was released on 2017-11-22 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to maximum-entropy models of random graphs with given topological properties and their applications. Its original contribution is the reformulation of many seemingly different problems in the study of both real networks and graph theory within the unified framework of maximum entropy. Particular emphasis is put on the detection of structural patterns in real networks, on the reconstruction of the properties of networks from partial information, and on the enumeration and sampling of graphs with given properties. After a first introductory chapter explaining the motivation, focus, aim and message of the book, chapter 2 introduces the formal construction of maximum-entropy ensembles of graphs with local topological constraints. Chapter 3 focuses on the problem of pattern detection in real networks and provides a powerful way to disentangle nontrivial higher-order structural features from those that can be traced back to simpler local constraints. Chapter 4 focuses on the problem of network reconstruction and introduces various advanced techniques to reliably infer the topology of a network from partial local information. Chapter 5 is devoted to the reformulation of certain “hard” combinatorial operations, such as the enumeration and unbiased sampling of graphs with given constraints, within a “softened” maximum-entropy framework. A final chapter offers various overarching remarks and take-home messages.By requiring no prior knowledge of network theory, the book targets a broad audience ranging from PhD students approaching these topics for the first time to senior researchers interested in the application of advanced network techniques to their field.

Mathematical Foundations of Information Theory

Author : Aleksandr I?Akovlevich Khinchin
Publisher : Courier Corporation
ISBN 13 : 9780486604343
Total Pages : 150 pages
Book Rating : 4.6/5 (43 download)

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Book Synopsis Mathematical Foundations of Information Theory by : Aleksandr I?Akovlevich Khinchin

Download or read book Mathematical Foundations of Information Theory written by Aleksandr I?Akovlevich Khinchin and published by Courier Corporation. This book was released on 1957-01-01 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.

Applications of Graph Theory

Author : Ashay Dharwadker
Publisher : Institute of Mathematics
ISBN 13 : 1466397098
Total Pages : 34 pages
Book Rating : 4.4/5 (663 download)

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Book Synopsis Applications of Graph Theory by : Ashay Dharwadker

Download or read book Applications of Graph Theory written by Ashay Dharwadker and published by Institute of Mathematics. This book was released on 2007-08-07 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is becoming increasingly significant as it is applied to other areas of mathematics, science and technology. It is being actively used in fields as varied as biochemistry (genomics), electrical engineering (communication networks and coding theory), computer science (algorithms and computation) and operations research (scheduling). The powerful combinatorial methods found in graph theory have also been used to prove fundamental results in other areas of pure mathematics. This book, besides giving a general outlook of these facts, includes new graph theoretical proofs of Fermat’s Little Theorem and the Nielson-Schreier Theorem. New applications to DNA sequencing (the SNP assembly problem) and computer network security (worm propagation) using minimum vertex covers in graphs are discussed. We also show how to apply edge coloring and matching in graphs for scheduling (the timetabling problem) and vertex coloring in graphs for map coloring and the assignment of frequencies in GSM mobile phone networks. Finally, we revisit the classical problem of finding re-entrant knight’s tours on a chessboard using Hamiltonian circuits in graphs.

Graph Theory and Applications

Author : Y. Alavi
Publisher :
ISBN 13 : 9783662192665
Total Pages : 344 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Graph Theory and Applications by : Y. Alavi

Download or read book Graph Theory and Applications written by Y. Alavi and published by . This book was released on 2014-01-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Applications of Graph Theory

Author : Vadim Zverovich
Publisher : Oxford University Press
ISBN 13 : 0198856741
Total Pages : 417 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Modern Applications of Graph Theory by : Vadim Zverovich

Download or read book Modern Applications of Graph Theory written by Vadim Zverovich and published by Oxford University Press. This book was released on 2021 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Graph Theory

Author : Karin R Saoub
Publisher : CRC Press
ISBN 13 : 0429779887
Total Pages : 421 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Graph Theory by : Karin R Saoub

Download or read book Graph Theory written by Karin R Saoub and published by CRC Press. This book was released on 2021-03-17 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Theory: An Introduction to Proofs, Algorithms, and Applications Graph theory is the study of interactions, conflicts, and connections. The relationship between collections of discrete objects can inform us about the overall network in which they reside, and graph theory can provide an avenue for analysis. This text, for the first undergraduate course, will explore major topics in graph theory from both a theoretical and applied viewpoint. Topics will progress from understanding basic terminology, to addressing computational questions, and finally ending with broad theoretical results. Examples and exercises will guide the reader through this progression, with particular care in strengthening proof techniques and written mathematical explanations. Current applications and exploratory exercises are provided to further the reader’s mathematical reasoning and understanding of the relevance of graph theory to the modern world. Features The first chapter introduces graph terminology, mathematical modeling using graphs, and a review of proof techniques featured throughout the book The second chapter investigates three major route problems: eulerian circuits, hamiltonian cycles, and shortest paths. The third chapter focuses entirely on trees – terminology, applications, and theory. Four additional chapters focus around a major graph concept: connectivity, matching, coloring, and planarity. Each chapter brings in a modern application or approach. Hints and Solutions to selected exercises provided at the back of the book. Author Karin R. Saoub is an Associate Professor of Mathematics at Roanoke College in Salem, Virginia. She earned her PhD in mathematics from Arizona State University and BA from Wellesley College. Her research focuses on graph coloring and on-line algorithms applied to tolerance graphs. She is also the author of A Tour Through Graph Theory, published by CRC Press.

Introduction to Graph Theory

Author : Richard J. Trudeau
Publisher : Courier Corporation
ISBN 13 : 0486318664
Total Pages : 224 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Introduction to Graph Theory by : Richard J. Trudeau

Download or read book Introduction to Graph Theory written by Richard J. Trudeau and published by Courier Corporation. This book was released on 2013-04-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.

Graph Theory Applications

Author : L.R. Foulds
Publisher : Springer Science & Business Media
ISBN 13 : 0387975993
Total Pages : 408 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Graph Theory Applications by : L.R. Foulds

Download or read book Graph Theory Applications written by L.R. Foulds and published by Springer Science & Business Media. This book was released on 1995-01-20 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this text covers the main graph theoretic topics: connectivity, trees, traversability, planarity, colouring, covering, matching, digraphs, networks, matrices of a graph, graph theoretic algorithms, and matroids. These concepts are then applied in the second part to problems in engineering, operations research, and science as well as to an interesting set of miscellaneous problems, thus illustrating their broad applicability. Every effort has been made to present applications that use not merely the notation and terminology of graph theory, but also its actual mathematical results. Some of the applications, such as in molecular evolution, facilities layout, and graffic network design, have never appeared before in book form. Written at an advanced undergraduate to beginning graduate level, this book is suitable for students of mathematics, engineering, operations research, computer science, and physical sciences as well as for researchers and practitioners with an interest in graph theoretic modelling.

Mathematical Foundations of Information Theory

Author : A. Ya. Khinchin
Publisher : Courier Corporation
ISBN 13 : 0486318443
Total Pages : 130 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Mathematical Foundations of Information Theory by : A. Ya. Khinchin

Download or read book Mathematical Foundations of Information Theory written by A. Ya. Khinchin and published by Courier Corporation. This book was released on 2013-04-09 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.

The Mathematical Theory of Communication

Author : Claude E Shannon
Publisher : University of Illinois Press
ISBN 13 : 025209803X
Total Pages : 144 pages
Book Rating : 4.2/5 (52 download)

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Book Synopsis The Mathematical Theory of Communication by : Claude E Shannon

Download or read book The Mathematical Theory of Communication written by Claude E Shannon and published by University of Illinois Press. This book was released on 1998-09-01 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.

Graph Theory with Applications

Author : Adrian J. Bondy
Publisher : Wiley-Interscience
ISBN 13 : 9780471363248
Total Pages : 296 pages
Book Rating : 4.3/5 (632 download)

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Book Synopsis Graph Theory with Applications by : Adrian J. Bondy

Download or read book Graph Theory with Applications written by Adrian J. Bondy and published by Wiley-Interscience. This book was released on 1991-01-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in a new, revised edition, this book provides readers with an introduction to graph theory. The authors enhance the basic material by including a wide variety of applications to both other branches of mathematics and to real-world problems. Each application has been carefully selected and is treated in some depth. Also emphasized throughout the book is the importance of efficient methods of solving problems.