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Graphs And Algorithms In Communication Networks
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Book Synopsis Graphs and Algorithms in Communication Networks by : Arie Koster
Download or read book Graphs and Algorithms in Communication Networks written by Arie Koster and published by Springer Science & Business Media. This book was released on 2009-12-01 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic discrete mathematics plays a key role in the development of information and communication technologies, and methods that arise in computer science, mathematics and operations research – in particular in algorithms, computational complexity, distributed computing and optimization – are vital to modern services such as mobile telephony, online banking and VoIP. This book examines communication networking from a mathematical viewpoint. The contributing authors took part in the European COST action 293 – a four-year program of multidisciplinary research on this subject. In this book they offer introductory overviews and state-of-the-art assessments of current and future research in the fields of broadband, optical, wireless and ad hoc networks. Particular topics of interest are design, optimization, robustness and energy consumption. The book will be of interest to graduate students, researchers and practitioners in the areas of networking, theoretical computer science, operations research, distributed computing and mathematics.
Book Synopsis Graphs, Networks and Algorithms by : Dieter Jungnickel
Download or read book Graphs, Networks and Algorithms written by Dieter Jungnickel and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed
Book Synopsis Distributed Graph Algorithms for Computer Networks by : Kayhan Erciyes
Download or read book Distributed Graph Algorithms for Computer Networks written by Kayhan Erciyes and published by Springer Science & Business Media. This book was released on 2013-05-16 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive review of key distributed graph algorithms for computer network applications, with a particular emphasis on practical implementation. Topics and features: introduces a range of fundamental graph algorithms, covering spanning trees, graph traversal algorithms, routing algorithms, and self-stabilization; reviews graph-theoretical distributed approximation algorithms with applications in ad hoc wireless networks; describes in detail the implementation of each algorithm, with extensive use of supporting examples, and discusses their concrete network applications; examines key graph-theoretical algorithm concepts, such as dominating sets, and parameters for mobility and energy levels of nodes in wireless ad hoc networks, and provides a contemporary survey of each topic; presents a simple simulator, developed to run distributed algorithms; provides practical exercises at the end of each chapter.
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 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.
Book Synopsis Hypergraph Theory in Wireless Communication Networks by : Hongliang Zhang
Download or read book Hypergraph Theory in Wireless Communication Networks written by Hongliang Zhang and published by Springer. This book was released on 2017-07-24 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief focuses on introducing a novel mathematical framework, referred as hypergraph theory, to model and solve the multiple interferer scenarios for future wireless communication networks. First, in Chap. 1, the authors introduce the basic preliminaries of hypergraph theory in general, and develop two hypergraph based polynomial algorithms, i.e., hypergraph coloring and hypergraph clustering. Then, in Chaps. 2 and 3, the authors present two emerging applications of hypergraph coloring and hypergraph clustering in Device-to-Device (D2D) underlay communication networks, respectively, in order to show the advantages of hypergraph theory compared with the traditional graph theory. Finally, in Chap. 4, the authors discuss the limitations of using hypergraph theory in future wireless networks and briefly present some other potential applications. This brief introduces the state-of-the-art research on the hypergraph theory and its applications in wireless communications. An efficient framework is provided for the researchers, professionals and advanced level students who are interested in the radio resource allocation in the heterogeneous networks to solve the resource allocation and interference management problems.
Book Synopsis Path Problems in Networks by : John Baras
Download or read book Path Problems in Networks written by John Baras and published by Morgan & Claypool Publishers. This book was released on 2010-04-04 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: The algebraic path problem is a generalization of the shortest path problem in graphs. Various instances of this abstract problem have appeared in the literature, and similar solutions have been independently discovered and rediscovered. The repeated appearance of a problem is evidence of its relevance. This book aims to help current and future researchers add this powerful tool to their arsenal, so that they can easily identify and use it in their own work. Path problems in networks can be conceptually divided into two parts: A distillation of the extensive theory behind the algebraic path problem, and an exposition of a broad range of applications. First of all, the shortest path problem is presented so as to fix terminology and concepts: existence and uniqueness of solutions, robustness to parameter changes, and centralized and distributed computation algorithms. Then, these concepts are generalized to the algebraic context of semirings. Methods for creating new semirings, useful for modeling new problems, are provided. A large part of the book is then devoted to numerous applications of the algebraic path problem, ranging from mobile network routing to BGP routing to social networks. These applications show what kind of problems can be modeled as algebraic path problems; they also serve as examples on how to go about modeling new problems. This monograph will be useful to network researchers, engineers, and graduate students. It can be used either as an introduction to the topic, or as a quick reference to the theoretical facts, algorithms, and application examples. The theoretical background assumed for the reader is that of a graduate or advanced undergraduate student in computer science or engineering. Some familiarity with algebra and algorithms is helpful, but not necessary. Algebra, in particular, is used as a convenient and concise language to describe problems that are essentially combinatorial. Table of Contents: Classical Shortest Path / The Algebraic Path Problem / Properties and Computation of Solutions / Applications / Related Areas / List of Semirings and Applications
Download or read book Graphs written by K. Thulasiraman and published by John Wiley & Sons. This book was released on 2011-03-29 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This adaptation of an earlier work by the authors is a graduate text and professional reference on the fundamentals of graph theory. It covers the theory of graphs, its applications to computer networks and the theory of graph algorithms. Also includes exercises and an updated bibliography.
Book Synopsis Combinatorial Optimization in Communication Networks by : Maggie Xiaoyan Cheng
Download or read book Combinatorial Optimization in Communication Networks written by Maggie Xiaoyan Cheng and published by Springer Science & Business Media. This book was released on 2006-07-02 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive presentation of cutting-edge research in communication networks with a combinatorial optimization component. The objective of the book is to advance and promote the theory and applications of combinatorial optimization in communication networks. Each chapter is written by an expert dealing with theoretical, computational, or applied aspects of combinatorial optimization.
Book Synopsis Graph Theoretic Approaches for Analyzing Routes, Flows, and Subnetworks in Communication Networks by : Zohre Ranjbar-Mojaveri
Download or read book Graph Theoretic Approaches for Analyzing Routes, Flows, and Subnetworks in Communication Networks written by Zohre Ranjbar-Mojaveri and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling networks as different graph types and discovering novel route finding strategies, as well as avoiding congestion in dense subnetworks via graph-theoretic approaches, contribute to overall blocking probability reduction in communication networks. We develop methods for modeling congested subnetworks and graph density measures to identify routes that avoid dense subgraphs for local or global congestion avoidance. We thoroughly review various concepts of graph density, as well as associated theorems and algorithms to identify and extract a densest subgraph from an input graph, according to different definitions of graph density. The Disjoint Connecting Paths problem, and its capacitated generalization, called Unsplittable Flow problem, play an important role in practical applications such as communication network design and routing. These tasks are NP-hard in general, but various polynomialtime approximations and efficiently solvable special cases are known. We present a solution that provides a relatively simple, efficient algorithm for the Unsplittable Flow problem in large, general directed graphs, where the task is NP-hard, and is known to remain NP-hard even to approximate up to a large factor. The efficiency of our algorithm is achieved by sacrificing a small part of the solution space. This also represents a novel paradigm for approximation: rather than giving up the search for an exact solution, we restrict the solution space to a subset that is the most important for applications, and excludes only a small part that is marginal in some well-defined sense. Specifically, the sacrificed part only contains scenarios where some edges are very close to saturation. Since nearly saturated links are undesirable in practical applications, therefore, excluding near-saturation is quite reasonable from the practical point of view. Referring the solutions that contain no nearly saturated edges as safe solutions, and call the approach safe approximation we prove that this safe approximation can be carried out efficiently. That is, once we restrict ourselves to safe solutions, but keeping the graph completely general, finding the exact optimum by a randomized polynomial time algorithm is feasible. As a further piece of graph theory based analysis, we study random graphs instances in which the edges are allowed to be dependent. The importance of random graphs in networking is provided by the fact that they are frequently used to model the network topology of radio networks. However, the most studied variant of random graph models, the Erd ̋os-Rényi random graph, is insufficient for this purpose, because of its strong simplifying assumption that the edges are stochastically independent. We generalize this model by allowing edge dependence, in a quite general way. We call our model p-robust random graph. It means that every edge is present at least with a given probability p, regardless of the presence/absence of other edges. This allows significant dependencies, but keeping independent edges as a special case. For our main result, we consider monotone graph properties: properties that are preserved whenever more edges are added. Many important graph properties are monotone. Our main result, which requires a rather sophisticated proof, is that for any monotone graph property, the p-robust random graph has at least as high probability to have the property as an Erd ̋os-Rényi random graph with edge probability p. This provides a useful general tool, as it allows the adaptation of many results from classical Erd ̋os-Rényi random graphs to a non-independent setting, via using them as lower bounds. Finally, to complement the theoretical investigations with a practical approach, we consider a fundamental component for packet traffic filtering in computer networks, called Access Control List (ACL). Packet filtering via ACL controls inbound or outbound packet traffic and provides the ability to manage the network traffic flow through a network element to optimize quality of service (QoS), network security, as well as network performance. In general, filtering packet traffic and applying rules of permit/denial to data packets flowing into network nodes are facilitated by ACL. As an industry use case, we propose a procedure of adding a link load threshold value to the Access Control List rules option, which acts on the basis of a threshold value. This enhanced ACL is helps to avoid congestion in targeted subnetworks via the link load threshold value, which allows to decide that the packet traffic is rerouted by the router to avoid congestion, or packet drop is initiated on the basis of packet priorities. We demonstrate the system operation via numerical simulation.
Book Synopsis Handbook of Graphs and Networks by : Stefan Bornholdt
Download or read book Handbook of Graphs and Networks written by Stefan Bornholdt and published by John Wiley & Sons. This book was released on 2006-03-06 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex interacting networks are observed in systems from such diverse areas as physics, biology, economics, ecology, and computer science. For example, economic or social interactions often organize themselves in complex network structures. Similar phenomena are observed in traffic flow and in communication networks as the internet. In current problems of the Biosciences, prominent examples are protein networks in the living cell, as well as molecular networks in the genome. On larger scales one finds networks of cells as in neural networks, up to the scale of organisms in ecological food webs. This book defines the field of complex interacting networks in its infancy and presents the dynamics of networks and their structure as a key concept across disciplines. The contributions present common underlying principles of network dynamics and their theoretical description and are of interest to specialists as well as to the non-specialized reader looking for an introduction to this new exciting field. Theoretical concepts include modeling networks as dynamical systems with numerical methods and new graph theoretical methods, but also focus on networks that change their topology as in morphogenesis and self-organization. The authors offer concepts to model network structures and dynamics, focussing on approaches applicable across disciplines.
Book Synopsis Community Search over Big Graphs by : Xin Huang
Download or read book Community Search over Big Graphs written by Xin Huang and published by Springer Nature. This book was released on 2022-05-31 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Communities serve as basic structural building blocks for understanding the organization of many real-world networks, including social, biological, collaboration, and communication networks. Recently, community search over graphs has attracted significantly increasing attention, from small, simple, and static graphs to big, evolving, attributed, and location-based graphs. In this book, we first review the basic concepts of networks, communities, and various kinds of dense subgraph models. We then survey the state of the art in community search techniques on various kinds of networks across different application areas. Specifically, we discuss cohesive community search, attributed community search, social circle discovery, and geo-social group search. We highlight the challenges posed by different community search problems. We present their motivations, principles, methodologies, algorithms, and applications, and provide a comprehensive comparison of the existing techniques. This book finally concludes by listing publicly available real-world datasets and useful tools for facilitating further research, and by offering further readings and future directions of research in this important and growing area.
Book Synopsis Connected Dominating Set: Theory and Applications by : Ding-Zhu Du
Download or read book Connected Dominating Set: Theory and Applications written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2012-10-26 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The connected dominating set has been a classic subject studied in graph theory since 1975. Since the 1990s, it has been found to have important applications in communication networks, especially in wireless networks, as a virtual backbone. Motivated from those applications, many papers have been published in the literature during last 15 years. Now, the connected dominating set has become a hot research topic in computer science. In this book, we are going to collect recent developments on the connected dominating set, which presents the state of the art in the study of connected dominating sets. The book consists of 16 chapters. Except the 1st one, each chapter is devoted to one problem, and consists of three parts, motivation and overview, problem complexity analysis, and approximation algorithm designs, which will lead the reader to see clearly about the background, formulation, existing important research results, and open problems. Therefore, this would be a very valuable reference book for researchers in computer science and operations research, especially in areas of theoretical computer science, computer communication networks, combinatorial optimization, and discrete mathematics.
Book Synopsis Algorithms and Models for the Web Graph by : Bogumił Kamiński
Download or read book Algorithms and Models for the Web Graph written by Bogumił Kamiński and published by Springer Nature. This book was released on 2020-06-02 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 17th International Workshop on Algorithms and Models for the Web Graph, WAW 2020, held in Warsaw, Poland, in September 2020. The 12 full papers presented in this volume were carefully reviewed and selected from 19 submissions. The aim of the workshop was to further the understanding of graphs that arise from the Web and various user activities on the Web, and stimulate the development of high-performance algorithms and applications that exploit these graphs. Due to the corona pandemic the conference was postponed from June 2020 to September 2020.
Author :Martin Charles Golumbic Publisher :Springer Science & Business Media ISBN 13 :0387250360 Total Pages :296 pages Book Rating :4.3/5 (872 download)
Book Synopsis Graph Theory, Combinatorics and Algorithms by : Martin Charles Golumbic
Download or read book Graph Theory, Combinatorics and Algorithms written by Martin Charles Golumbic and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their respective fields, and covers a wide spectrum of high-interest problems across these discipline domains. Among the contributing authors are Richard Karp of UC Berkeley and Robert Tarjan of Princeton; both are at the pinnacle of research scholarship in Graph Theory and Combinatorics. The chapters from the contributing authors focus on "real world" applications, all of which will be of considerable interest across the areas of Operations Research, Computer Science, Applied Mathematics, and Engineering. These problems include Internet congestion control, high-speed communication networks, multi-object auctions, resource allocation, software testing, data structures, etc. In sum, this is a book focused on major, contemporary problems, written by the top research scholars in the field, using cutting-edge mathematical and computational techniques.
Download or read book Graph Algorithms written by Mark Needham and published by "O'Reilly Media, Inc.". This book was released on 2019-05-16 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover how graph algorithms can help you leverage the relationships within your data to develop more intelligent solutions and enhance your machine learning models. You’ll learn how graph analytics are uniquely suited to unfold complex structures and reveal difficult-to-find patterns lurking in your data. Whether you are trying to build dynamic network models or forecast real-world behavior, this book illustrates how graph algorithms deliver value—from finding vulnerabilities and bottlenecks to detecting communities and improving machine learning predictions. This practical book walks you through hands-on examples of how to use graph algorithms in Apache Spark and Neo4j—two of the most common choices for graph analytics. Also included: sample code and tips for over 20 practical graph algorithms that cover optimal pathfinding, importance through centrality, and community detection. Learn how graph analytics vary from conventional statistical analysis Understand how classic graph algorithms work, and how they are applied Get guidance on which algorithms to use for different types of questions Explore algorithm examples with working code and sample datasets from Spark and Neo4j See how connected feature extraction can increase machine learning accuracy and precision Walk through creating an ML workflow for link prediction combining Neo4j and Spark
Book Synopsis Graph Theory and Algorithms by : N. Saito
Download or read book Graph Theory and Algorithms written by N. Saito and published by Springer Science & Business Media. This book was released on 1981-05 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
