Hybrid Graph Theory And Network Analysis

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Hybrid Graph Theory and Network Analysis

Author : Ladislav Novak
Publisher : Cambridge University Press
ISBN 13 : 9780521106597
Total Pages : 188 pages
Book Rating : 4.1/5 (65 download)

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Book Synopsis Hybrid Graph Theory and Network Analysis by : Ladislav Novak

Download or read book Hybrid Graph Theory and Network Analysis written by Ladislav Novak and published by Cambridge University Press. This book was released on 2009-09-03 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines traditional graph theory with the matroid view of graphs in order to throw light on the mathematical approach to network analysis. The authors examine in detail two dual structures associated with a graph, namely circuits and cutsets. These are strongly dependent on one another and together constitute a third, hybrid, vertex-independent structure called a graphoid, whose study is here termed hybrid graph theory. This approach has particular relevance for network analysis. The first account of the subject in book form, the text includes many new results as well as the synthesizing and reworking of much research done over the past thirty years (historically, the study of hybrid aspects of graphs owes much to the foundational work of Japanese researchers). This work will be regarded as the definitive account of the subject, suitable for all working in theoretical network analysis: mathematicians, computer scientists or electrical engineers.

Hybrid Graph Theory and Network Analysis

Author : Ladislav Novak
Publisher : Cambridge University Press
ISBN 13 : 0521461170
Total Pages : 190 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Hybrid Graph Theory and Network Analysis by : Ladislav Novak

Download or read book Hybrid Graph Theory and Network Analysis written by Ladislav Novak and published by Cambridge University Press. This book was released on 1999-09-02 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1999, this book combines traditional graph theory with the matroidal view of graphs and throws light on mathematical aspects of network analysis. This approach is called here hybrid graph theory. This is essentially a vertex-independent view of graphs naturally leading into the domain of graphoids, a generalisation of graphs. This enables the authors to combine the advantages of both the intuitive view from graph theory and the formal mathematical tools from the theory of matroids. A large proportion of the material is either new or is interpreted from a fresh viewpoint. Hybrid graph theory has particular relevance to electrical network analysis, which was one of the earliest areas of application of graph theory. It was essentially out of developments in this area that hybrid graph theory evolved.

Complex Graphs and Networks

Author : Fan R. K. Chung
Publisher : American Mathematical Soc.
ISBN 13 : 0821836579
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Complex Graphs and Networks by : Fan R. K. Chung

Download or read book Complex Graphs and Networks written by Fan R. K. Chung and published by American Mathematical Soc.. This book was released on 2006 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is a primary tool for detecting numerous hidden structures in various information networks, including Internet graphs, social networks, biological networks, or any graph representing relations in massive data sets. This book explains the universal and ubiquitous coherence in the structure of these realistic but complex networks.

Graph-Based Modelling in Science, Technology and Art

Author : Stanisław Zawiślak
Publisher : Springer Nature
ISBN 13 : 3030767876
Total Pages : 311 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Graph-Based Modelling in Science, Technology and Art by : Stanisław Zawiślak

Download or read book Graph-Based Modelling in Science, Technology and Art written by Stanisław Zawiślak and published by Springer Nature. This book was released on 2021-08-01 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents interdisciplinary, cutting-edge and creative applications of graph theory and modeling in science, technology, architecture and art. Topics are divided into three parts: the first one examines mechanical problems related to gears, planetary gears and engineering installations; the second one explores graph-based methods applied to medical analyses as well as biological and chemical modeling; and the third part includes various topics e.g. drama analysis, aiding of design activities and network visualisation. The authors represent several countries in Europe and America, and their contributions show how different, useful and fruitful the utilization of graphs in modelling of engineering systems can be. The book has been designed to serve readers interested in the subject of graph modelling and those with expertise in related areas, as well as members of the worldwide community of graph modelers.

Applied Graph Theory

Author : Wai-Kai Chen
Publisher : Elsevier
ISBN 13 : 1483164152
Total Pages : 559 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Applied Graph Theory by : Wai-Kai Chen

Download or read book Applied Graph Theory written by Wai-Kai Chen and published by Elsevier. This book was released on 2014-11-28 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Graph Theory: Graphs and Electrical Networks, Second Revised Edition provides a concise discussion of the fundamentals of graph and its application to the electrical network theory. The book emphasizes the mathematical precision of the concepts and principles involved. The text first covers the basic theory of graph, and then proceeds to tackling in the next three chapters the various applications of graph to electrical network theory. These chapters also discuss the foundations of electrical network theory; directed-graph solutions of linear algebraic equations; and topological analysis of linear systems. Next, the book covers trees and their generation. Chapter 6 deals with the realizability of directed graphs with prescribed degrees, while Chapter 7 talks about state equations of networks. The book will be of great use to researchers of network topology, linear systems, and circuitries.

Advances in Network Complexity

Author : Matthias Dehmer
Publisher : John Wiley & Sons
ISBN 13 : 3527670483
Total Pages : 298 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Advances in Network Complexity by : Matthias Dehmer

Download or read book Advances in Network Complexity written by Matthias Dehmer and published by John Wiley & Sons. This book was released on 2013-06-21 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: A well-balanced overview of mathematical approaches to complex systems ranging from applications in chemistry and ecology to basic research questions on network complexity. Matthias Dehmer, Abbe Mowshowitz, and Frank Emmert-Streib, well-known pioneers in the fi eld, have edited this volume with a view to balancing classical and modern approaches to ensure broad coverage of contemporary research problems. The book is a valuable addition to the literature and a must-have for anyone dealing with network compleaity and complexity issues.

Graph Spectra for Complex Networks

Author : Piet van Mieghem
Publisher : Cambridge University Press
ISBN 13 : 1139492276
Total Pages : 363 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Graph Spectra for Complex Networks by : Piet van Mieghem

Download or read book Graph Spectra for Complex Networks written by Piet van Mieghem and published by Cambridge University Press. This book was released on 2010-12-02 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzing the behavior of complex networks is an important element in the design of new man-made structures such as communication systems and biologically engineered molecules. Because any complex network can be represented by a graph, and therefore in turn by a matrix, graph theory has become a powerful tool in the investigation of network performance. This self-contained 2010 book provides a concise introduction to the theory of graph spectra and its applications to the study of complex networks. Covering a range of types of graphs and topics important to the analysis of complex systems, this guide provides the mathematical foundation needed to understand and apply spectral insight to real-world systems. In particular, the general properties of both the adjacency and Laplacian spectrum of graphs are derived and applied to complex networks. An ideal resource for researchers and students in communications networking as well as in physics and mathematics.

Graph Theory and Complex Networks

Author : Maarten van Steen
Publisher : Maarten Van Steen
ISBN 13 : 9789081540612
Total Pages : 285 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Graph Theory and Complex Networks by : Maarten van Steen

Download or read book Graph Theory and Complex Networks written by Maarten van Steen and published by Maarten Van Steen. This book was released on 2010 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to explain the basics of graph theory that are needed at an introductory level for students in computer or information sciences. To motivate students and to show that even these basic notions can be extremely useful, the book also aims to provide an introduction to the modern field of network science. Mathematics is often unnecessarily difficult for students, at times even intimidating. For this reason, explicit attention is paid in the first chapters to mathematical notations and proof techniques, emphasizing that the notations form the biggest obstacle, not the mathematical concepts themselves. This approach allows to gradually prepare students for using tools that are necessary to put graph theory to work: complex networks. In the second part of the book the student learns about random networks, small worlds, the structure of the Internet and the Web, peer-to-peer systems, and social networks. Again, everything is discussed at an elementary level, but such that in the end students indeed have the feeling that they: 1.Have learned how to read and understand the basic mathematics related to graph theory. 2.Understand how basic graph theory can be applied to optimization problems such as routing in communication networks. 3.Know a bit more about this sometimes mystical field of small worlds and random networks. There is an accompanying web site www.distributed-systems.net/gtcn from where supplementary material can be obtained, including exercises, Mathematica notebooks, data for analyzing graphs, and generators for various complex networks.

Graph Theory and Interconnection Networks

Author : Lih-Hsing Hsu
Publisher : CRC Press
ISBN 13 : 1420044826
Total Pages : 722 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Graph Theory and Interconnection Networks by : Lih-Hsing Hsu

Download or read book Graph Theory and Interconnection Networks written by Lih-Hsing Hsu and published by CRC Press. This book was released on 2008-09-26 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advancement of large scale integrated circuit technology has enabled the construction of complex interconnection networks. Graph theory provides a fundamental tool for designing and analyzing such networks. Graph Theory and Interconnection Networks provides a thorough understanding of these interrelated topics. After a brief introduction to gra

Spatial Networks

Author : Marc Barthelemy
Publisher : Springer Nature
ISBN 13 : 303094106X
Total Pages : 443 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Spatial Networks by : Marc Barthelemy

Download or read book Spatial Networks written by Marc Barthelemy and published by Springer Nature. This book was released on 2022-02-20 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks. The book puts a special emphasis on analyzing complex systems which are organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology. This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and reference on this topic for a wide range of students and professional researchers.

Handbook of Graphs and Networks in People Analytics

Author : Keith McNulty
Publisher : CRC Press
ISBN 13 : 100059727X
Total Pages : 266 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Handbook of Graphs and Networks in People Analytics by : Keith McNulty

Download or read book Handbook of Graphs and Networks in People Analytics written by Keith McNulty and published by CRC Press. This book was released on 2022-06-19 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Graphs and Networks in People Analytics: With Examples in R and Python covers the theory and practical implementation of graph methods in R and Python for the analysis of people and organizational networks. Starting with an overview of the origins of graph theory and its current applications in the social sciences, the book proceeds to give in-depth technical instruction on how to construct and store graphs from data, how to visualize those graphs compellingly and how to convert common data structures into graph-friendly form. The book explores critical elements of network analysis in detail, including the measurement of distance and centrality, the detection of communities and cliques, and the analysis of assortativity and similarity. An extension chapter offers an introduction to graph database technologies. Real data sets from various research contexts are used for both instruction and for end of chapter practice exercises and a final chapter contains data sets and exercises ideal for larger personal or group projects of varying difficulty level. Key features: Immediately implementable code, with extensive and varied illustrations of graph variants and layouts. Examples and exercises across a variety of real-life contexts including business, politics, education, social media and crime investigation. Dedicated chapter on graph visualization methods. Practical walkthroughs of common methodological uses: finding influential actors in groups, discovering hidden community structures, facilitating diverse interaction in organizations, detecting political alignment, determining what influences connection and attachment. Various downloadable data sets for use both in class and individual learning projects. Final chapter dedicated to individual or group project examples.

A Graph-Theoretic Approach to Enterprise Network Dynamics

Author : Horst Bunke
Publisher : Springer Science & Business Media
ISBN 13 : 0817645195
Total Pages : 230 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis A Graph-Theoretic Approach to Enterprise Network Dynamics by : Horst Bunke

Download or read book A Graph-Theoretic Approach to Enterprise Network Dynamics written by Horst Bunke and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph treats the application of numerous graph-theoretic algorithms to a comprehensive analysis of dynamic enterprise networks. Network dynamics analysis yields valuable information about network performance, efficiency, fault prediction, cost optimization, indicators and warnings. Based on many years of applied research on generic network dynamics, this work covers a number of elegant applications (including many new and experimental results) of traditional graph theory algorithms and techniques to computationally tractable network dynamics analysis to motivate network analysts, practitioners and researchers alike.

Graph Theoretic Methods in Multiagent Networks

Author : Mehran Mesbahi
Publisher : Princeton University Press
ISBN 13 : 1400835356
Total Pages : 424 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Graph Theoretic Methods in Multiagent Networks by : Mehran Mesbahi

Download or read book Graph Theoretic Methods in Multiagent Networks written by Mehran Mesbahi and published by Princeton University Press. This book was released on 2010-07-01 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible book provides an introduction to the analysis and design of dynamic multiagent networks. Such networks are of great interest in a wide range of areas in science and engineering, including: mobile sensor networks, distributed robotics such as formation flying and swarming, quantum networks, networked economics, biological synchronization, and social networks. Focusing on graph theoretic methods for the analysis and synthesis of dynamic multiagent networks, the book presents a powerful new formalism and set of tools for networked systems. The book's three sections look at foundations, multiagent networks, and networks as systems. The authors give an overview of important ideas from graph theory, followed by a detailed account of the agreement protocol and its various extensions, including the behavior of the protocol over undirected, directed, switching, and random networks. They cover topics such as formation control, coverage, distributed estimation, social networks, and games over networks. And they explore intriguing aspects of viewing networks as systems, by making these networks amenable to control-theoretic analysis and automatic synthesis, by monitoring their dynamic evolution, and by examining higher-order interaction models in terms of simplicial complexes and their applications. The book will interest graduate students working in systems and control, as well as in computer science and robotics. It will be a standard reference for researchers seeking a self-contained account of system-theoretic aspects of multiagent networks and their wide-ranging applications. This book has been adopted as a textbook at the following universities: ? University of Stuttgart, Germany Royal Institute of Technology, Sweden Johannes Kepler University, Austria Georgia Tech, USA University of Washington, USA Ohio University, USA

Hybrid bases in graphs

Author : L. A. Novak
Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (28 download)

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Book Synopsis Hybrid bases in graphs by : L. A. Novak

Download or read book Hybrid bases in graphs written by L. A. Novak and published by . This book was released on 1992 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of hybrid bases is related to several important notions in hybrid orientated graph theory. For example, it is related to maximally distant pairs of trees, to complementary pairs of trees, to perfect trees and to topological degree of freedom. It is also closely related to the problem of finding the minimum number of independent variables in the hybrid analysis of electrical networks."

Graph Theory And Mobile Communications

Author : Masakazu Sengoku
Publisher : World Scientific
ISBN 13 : 9811255318
Total Pages : 409 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Graph Theory And Mobile Communications by : Masakazu Sengoku

Download or read book Graph Theory And Mobile Communications written by Masakazu Sengoku and published by World Scientific. This book was released on 2023-01-30 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive compendium discusses the basics of graph theory to its application, focusing on the application of graph theory to mobile communications.A mobile communication connects a mobile terminal and a base station wirelessly, and the base station enables communications all over the world via a wired and satellite communication system. This means that the mobile communication system includes wire and wireless technologies, and also hardware such as analog electric circuits, digital circuits and a software part such as computer algorithms.This useful reference text deeply studies how the network structure influences the performance of the corresponding system.

Algebras, Graphs and their Applications

Author : Ilwoo Cho
Publisher : CRC Press
ISBN 13 : 146659019X
Total Pages : 446 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Algebras, Graphs and their Applications by : Ilwoo Cho

Download or read book Algebras, Graphs and their Applications written by Ilwoo Cho and published by CRC Press. This book was released on 2013-09-11 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the study of algebra induced by combinatorial objects called directed graphs. These graphs are used as tools in the analysis of graph-theoretic problems and in the characterization and solution of analytic problems. The book presents recent research in operator algebra theory connected with discrete and combinatorial mathematical objects. It also covers tools and methods from a variety of mathematical areas, including algebra, operator theory, and combinatorics, and offers numerous applications of fractal theory, entropy theory, K-theory, and index theory.

Algebraic Graph Theory

Author : Ulrich Knauer
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110617366
Total Pages : 349 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Algebraic Graph Theory by : Ulrich Knauer

Download or read book Algebraic Graph Theory written by Ulrich Knauer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-10-08 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph models are extremely useful for a large number of applications as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones, social networks – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. The focus of this highly self-contained book is on homomorphisms and endomorphisms, matrices and eigenvalues.