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Graph Theory And Mobile Communications

Graph Theory And Mobile Communications
Author: Masakazu Sengoku
Publisher: World Scientific
Total Pages: 409
Release: 2023-01-30
Genre: Technology & Engineering
ISBN: 9811255318

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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.


Graph Theory and Mobile Communications

Graph Theory and Mobile Communications
Author: Masakazu Sengoku (Professor of engineering)
Publisher:
Total Pages: 0
Release: 2022
Genre: Electronic books
ISBN: 9789811255304

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Paving the Way for 5G Through the Convergence of Wireless Systems

Paving the Way for 5G Through the Convergence of Wireless Systems
Author: Ramona Trestian
Publisher: Information Science Reference
Total Pages: 0
Release: 2018-12-28
Genre: Computers
ISBN: 9781522575726

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In the ever-evolving telecommunication industry, smart mobile computing devices have become increasingly affordable and powerful, leading to significant growth in the number of advanced mobile users and their bandwidth demands. Due to this increasing need, the next generation of wireless networks needs to enable solutions to bring together broadband, broadcast, and cellular technologies for global consumers. Paving the Way for 5G Through the Convergence of Wireless Systems provides innovative insights into wireless networks and cellular coexisting solutions that aim at paving the way towards 5G. Through examining data offloading, cellular technologies, and multi-edge computing, it addresses coexistence problems at different levels (i.e., physical characteristics, open access, technology-neutrality, economic characteristics, healthcare, education, energy, etc.), influencing networks to provide solutions for next generation wireless networks. Bridging research and practical solutions, this comprehensive reference source is ideally designed for graduate-level students, IT professionals and technicians, engineers, academicians, and researchers.


Hypergraph Theory in Wireless Communication Networks

Hypergraph Theory in Wireless Communication Networks
Author: Hongliang Zhang
Publisher: Springer
Total Pages: 62
Release: 2017-07-24
Genre: Technology & Engineering
ISBN: 3319604694

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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.


Graphs and Algorithms in Communication Networks

Graphs and Algorithms in Communication Networks
Author: Arie Koster
Publisher: Springer Science & Business Media
Total Pages: 442
Release: 2009-12-01
Genre: Computers
ISBN: 3642022502

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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.


Applications of Graph Theory

Applications of Graph Theory
Author: Ashay Dharwadker
Publisher: Institute of Mathematics
Total Pages: 34
Release: 2007-08-07
Genre: Mathematics
ISBN: 1466397098

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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 Applications in Network Security

Graph Theory Applications in Network Security
Author: Fernando Docemmilli
Publisher:
Total Pages: 16
Release: 2016-06-14
Genre:
ISBN: 9783668208940

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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.


Graph Theory and Complex Networks

Graph Theory and Complex Networks
Author: Maarten van Steen
Publisher: Maarten Van Steen
Total Pages: 285
Release: 2010
Genre: Graph theory
ISBN: 9789081540612

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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.


Network Science

Network Science
Author: Albert-László Barabási
Publisher: Cambridge University Press
Total Pages: 477
Release: 2016-07-21
Genre: Computers
ISBN: 1107076269

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Illustrated throughout in full colour, this pioneering text is the only book you need for an introduction to network science.


Graph Spectra for Complex Networks

Graph Spectra for Complex Networks
Author: Piet van Mieghem
Publisher: Cambridge University Press
Total Pages: 363
Release: 2010-12-02
Genre: Technology & Engineering
ISBN: 1139492276

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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.