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Graph Theory Applications In Network Security
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Book Synopsis Graph Theory Applications in Network Security by : Fernando Docemmilli
Download or read book Graph Theory Applications in Network Security written by Fernando Docemmilli and published by . This book was released on 2016-06-14 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Project Report from the year 2015 in the subject Computer Science - IT-Security, Central Queensland University (Theory Lab), language: English, abstract: Graph theory has become a very critical component in many applications in the computing field including networking and security. Unfortunately, it is also amongst the most complex topics to understand and apply. In this paper, we review some of the key applications of graph theory in network security. We first cover some algorithmic aspects, then present network coding and its relation to routing. The rapid growth in Global mobile communication networks demands new solutions for existing problems. Such problems include reduced bandwidth in mobile devices and the constant change in their associated network topologies. This creates a need for network algorithms with: 1. least possible communication traffic 2. High speed execution. The two challenges can be overcome by application of graph theory in developing local algorithms (Algorithms that require low rounds of communication). In this paper we explore applications of graph theory in cellular networks with an emphasis on the 'four-color' theorem and network coding and their relevant applications in wireless mobile networks.
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.
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.
Book Synopsis Handbook of Research on Advanced Applications of Graph Theory in Modern Society by : Pal, Madhumangal
Download or read book Handbook of Research on Advanced Applications of Graph Theory in Modern Society written by Pal, Madhumangal and published by IGI Global. This book was released on 2019-08-30 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Power Systems Applications of Graph Theory by : Jizhong Zhu
Download or read book Power Systems Applications of Graph Theory written by Jizhong Zhu and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are several books on the applications of graph theory, but none of them are related to power systems applications. This book attempts to cover all applications of graph theory in the area of power systems. It consists of two parts. The first part, containing four Chapters, briefly introduces the basic concepts of graph theory, major properties, theorems, and algorithms in graph theory and network flow programming. This definitive treatment makes graph theory easy to understand. The second part, containing 10 Chapters, is the practical application of graph theory and network flow programming to all kinds of power systems problems, which is the key part of the book. These applications include network flow calculation of power flow, classical economic power dispatch, security constrained economic dispatch, multi-areas system economic dispatch, reactive power optimisation and pricing in multi-area environment, hydro-thermal power system operation, power system state estimation, secure economic automatic generation control, automatic contingency selection, distribution network optimisation, and optimal load shedding. The treatment of each application includes the mathematical representation of power system problem, its relationship with graph theory and network flow programming, as well as the implementations accompanied by examples of power system application problem, solution, and results analysis. Each chapter contains the related references that collectively form an extensive guide to the primary research literature.
Book Synopsis Computer Network Security by : Igor Kotenko
Download or read book Computer Network Security written by Igor Kotenko and published by Springer. This book was released on 2012-10-10 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference on Mathematical Methods, Models, and Architectures for Computer Network Security, MMM-ACNS 2012, held in St. Petersburg, Russia in October 2012. The 14 revised full papers and 8 revised short presentations were carefully reviewed and selected from a total of 44 submissions. The papers are organized in topical sections on applied cryptography and security protocols, access control and information protection, security policies, security event and information management, instrusion prevention, detection and response, anti-malware techniques, security modeling and cloud security.
Book Synopsis Group Testing Theory in Network Security by : My T. Thai
Download or read book Group Testing Theory in Network Security written by My T. Thai and published by Springer Science & Business Media. This book was released on 2011-10-15 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group Testing Theory in Network Security explores a new branch of group testing theory with an application which enhances research results in network security. This brief presents new solutions on several advanced network security problems and mathematical frameworks based on the group testing theory, specifically denial-of-service and jamming attacks. A new application of group testing, illustrated in this text, requires additional theories, such as size constraint group testing and connected group testing. Included in this text is a chapter devoted to discussing open problems and suggesting new solutions for various network security problems. This text also exemplifies the connection between mathematical approaches and practical applications to group testing theory in network security. This work will appeal to a multidisciplinary audience with interests in computer communication networks, optimization, and engineering.
Book Synopsis Graph Theory and Its Applications, Second Edition by : Jonathan L. Gross
Download or read book Graph Theory and Its Applications, Second Edition written by Jonathan L. Gross and published by CRC Press. This book was released on 2005-09-22 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come. The superior explanations, broad coverage, and abundance of illustrations and exercises that positioned this as the premier graph theory text remain, but are now augmented by a broad range of improvements. Nearly 200 pages have been added for this edition, including nine new sections and hundreds of new exercises, mostly non-routine. What else is new? New chapters on measurement and analytic graph theory Supplementary exercises in each chapter - ideal for reinforcing, reviewing, and testing. Solutions and hints, often illustrated with figures, to selected exercises - nearly 50 pages worth Reorganization and extensive revisions in more than half of the existing chapters for smoother flow of the exposition Foreshadowing - the first three chapters now preview a number of concepts, mostly via the exercises, to pique the interest of reader Gross and Yellen take a comprehensive approach to graph theory that integrates careful exposition of classical developments with emerging methods, models, and practical needs. Their unparalleled treatment provides a text ideal for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology.
Book Synopsis Graph Theory Applications to Deregulated Power Systems by : Ricardo Moreno Chuquen
Download or read book Graph Theory Applications to Deregulated Power Systems written by Ricardo Moreno Chuquen and published by Springer Nature. This book was released on 2020-10-26 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed description of network science concepts applied to power systems and electricity markets, offering an appropriate blend of theoretical background and practical applications for operation and power system planning. It discusses an approach to understanding power systems from a network science perspective using the direct recognition of the interconnectivity provided by the transmission system. Further, it explores the network properties in detail and characterizes them as a tool for online and offline applications for power system operation. The book includes an in-depth explanation of electricity markets problems that can be addressed from a graph theory perspective. It is intended for advanced undergraduate and graduate students in the fields of electric energy systems, operations research, management science and economics. Practitioners in the electric energy sector also benefit from the concepts and techniques presented here.
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.
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.
Book Synopsis Random Graphs and Complex Networks by : Remco van der Hofstad
Download or read book Random Graphs and Complex Networks written by Remco van der Hofstad and published by Cambridge University Press. This book was released on 2017 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.
Book Synopsis Research Trends in Graph Theory and Applications by : Daniela Ferrero
Download or read book Research Trends in Graph Theory and Applications written by Daniela Ferrero and published by Springer Nature. This book was released on 2021-09-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Workshop for Women in Graph Theory and Applications was held at the Institute for Mathematics and Its Applications (University of Minnesota, Minneapolis) on August 19-23, 2019. During this five-day workshop, 42 participants performed collaborative research, in six teams, each focused on open problems in different areas of graph theory and its applications. The research work of each team was led by two experts in the corresponding area, who prior to the workshop, carefully selected relevant and meaningful open problems that would yield high-quality research and results of strong impact. As a result, all six teams have made significant contributions to several open problems in their respective areas. The workshop led to the creation of the Women in Graph Theory and Applications Research Collaboration Network, which provided the framework to continue collaborating and to produce this volume. This book contains six chapters, each of them on one of the different areas of research at the Workshop for Women in Graph Theory and Applications, and written by participants of each team.
Book Synopsis Graphs and Networks by : S. R. Kingan
Download or read book Graphs and Networks written by S. R. Kingan and published by John Wiley & Sons. This book was released on 2022-04-28 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphs and Networks A unique blend of graph theory and network science for mathematicians and data science professionals alike. Featuring topics such as minors, connectomes, trees, distance, spectral graph theory, similarity, centrality, small-world networks, scale-free networks, graph algorithms, Eulerian circuits, Hamiltonian cycles, coloring, higher connectivity, planar graphs, flows, matchings, and coverings, Graphs and Networks contains modern applications for graph theorists and a host of useful theorems for network scientists. The book begins with applications to biology and the social and political sciences and gradually takes a more theoretical direction toward graph structure theory and combinatorial optimization. A background in linear algebra, probability, and statistics provides the proper frame of reference. Graphs and Networks also features: Applications to neuroscience, climate science, and the social and political sciences A research outlook integrated directly into the narrative with ideas for students interested in pursuing research projects at all levels A large selection of primary and secondary sources for further reading Historical notes that hint at the passion and excitement behind the discoveries Practice problems that reinforce the concepts and encourage further investigation and independent work
Download or read book Digraphs written by Jorgen Bang-Jensen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of directed graphs (digraphs) has developed enormously over recent decades, yet the results are rather scattered across the journal literature. This is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, the authors discuss a large number of applications and their generalizations to topics such as the traveling salesman problem, project scheduling, genetics, network connectivity, and sparse matrices. Numerous exercises are included. For all graduate students, researchers and professionals interested in graph theory and its applications, this book will be essential reading.
Book Synopsis Networks, Security and Complexity by : S. P. Gorman
Download or read book Networks, Security and Complexity written by S. P. Gorman and published by Edward Elgar Publishing. This book was released on 2005-01-01 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world is growing more interconnected every day, spun with fiber optic cable, electric power lines, transportation and water networks. Gorman provides a detailed analysis of the pattern of telecommunications networks and their interrelationships with other infrastructure. The work is truly interdisciplinary in scope, and provides planners, policy makers, security analysts, and infrastructure managers and educators in all of these fields with an invaluable resource in terms of a rich database, a methodology, and process for assembling, analyzing and portraying information on key infrastructure assets. This work emphasizes space and place in understanding interconnectivity of physical infrastructure, integrating policy and geography as well as providing an important complement to engineering approaches to interconnected infrastructure. He presents the readers with a broad set of questions and how they can be addressed about threats, risk and vulnerability and policy options for their reduction. This is a rare book of its kind, and joins a growing literature on how complexity is a key factor in understanding and setting policies for the services upon which our society depends. Rae Zimmerman, New York University, US The concepts of Critical Infrastructure Protection are radically redefining the relationship between the public and private sectors in terms of both our national and economic security. Networks, Security and Complexity is a worthy contribution in defining and advancing many of these concepts. The author is among the vanguard of rising young scholars who will assist this nation in thinking through the significant security challenges faced in the age of information and asymmetric threat. John A. McCarthy, George Mason University School of Law, US This volume on complex networks opens surprising perspectives for the interested reader, either a scientist or a policymaker. It describes and analyzes in a convincing way the significance of critical infrastructures, be it internet or transport connections. Due insight into the existence and emergence of such infrastructures is a prerequisite for an effective security policy. This study presents a model-based, operational framework for identifying critical domains in dynamic networks. The various concepts are illustrated by means of empirical case examples. Peter Nijkamp, VU University Amsterdam, The Netherlands The end of the 20th century witnessed an information revolution that introduced a host of new economic efficiencies. This economic change was underpinned by rapidly growing networks of infrastructure that have become increasingly complex. In this new era of global security we are now forced to ask whether our private efficiencies have led to public vulnerabilities, and if so, how do we make ourselves secure without hampering the economy. In order to answer these questions, Sean Gorman provides a framework for how vulnerabilities are identified and cost-effectively mitigated, as well as how resiliency and continuity of infrastructures can be increased. Networks, Security and Complexity goes on to address specific concerns such as determining criticality and interdependency, the most effective means of allocating scarce resources for defense, and whether diversity is a viable strategy. The author provides the economic, policy, and physics background to the issues of infrastructure security, along with tools for taking first steps in tackling these security dilemmas. He includes case studies of infrastructure failures and vulnerabilities, an analysis of threats to US infrastructure, and a review of the economics and geography of agglomeration and efficiency. This critical and controversial book will garner much attention and spark an important dialogue. Policymakers, security professionals, infrastructure operators, academics, and readers following homeland security issues will find this volume of great interest.
Book Synopsis Applied Cryptography and Network Security by : Jaydip Sen
Download or read book Applied Cryptography and Network Security written by Jaydip Sen and published by BoD – Books on Demand. This book was released on 2012-03-14 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptography will continue to play important roles in developing of new security solutions which will be in great demand with the advent of high-speed next-generation communication systems and networks. This book discusses some of the critical security challenges faced by today's computing world and provides insights to possible mechanisms to defend against these attacks. The book contains sixteen chapters which deal with security and privacy issues in computing and communication networks, quantum cryptography and the evolutionary concepts of cryptography and their applications like chaos-based cryptography and DNA cryptography. It will be useful for researchers, engineers, graduate and doctoral students working in cryptography and security related areas. It will also be useful for faculty members of graduate schools and universities.
