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

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.

Hypergraph Theory in Wireless Communication Networks

Hypergraph Theory in Wireless Communication Networks
Author: Hongliang Zhang
Publisher: Springer
Total Pages: 70
Release: 2017-07-24
Genre: Technology & Engineering
ISBN: 3319604694

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.

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

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.

Networks in Cell Biology

Networks in Cell Biology
Author: Mark Buchanan
Publisher: Cambridge University Press
Total Pages: 282
Release: 2010-05-13
Genre: Science
ISBN: 0521882737

Key introductory text for graduate students and researchers in physics, biology and biochemistry.

Graph Theory, Combinatorics and Algorithms

Graph Theory, Combinatorics and Algorithms
Author: Martin Charles Golumbic
Publisher: Springer Science & Business Media
Total Pages: 296
Release: 2006-03-30
Genre: Mathematics
ISBN: 0387250360

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.

New Horizons in Mobile and Wireless Communications, Volume 4

New Horizons in Mobile and Wireless Communications, Volume 4
Author: Ramjee Prasad
Publisher: Artech House
Total Pages: 487
Release: 2009
Genre: Technology & Engineering
ISBN: 1607839741

Based on cutting-edge research projects in the field, this book (part of a comprehensive 4-volume series) provides the latest details and covers the most impactful aspects of mobile, wireless, and broadband communications development. These books present key systems and enabling technologies in a clear and accessible manner, offering you a detailed roadmap the future evolution of next generation communications. Other volumes cover Networks, Services and Applications; Reconfigurability; and Ad Hoc Networks.

Graph Theoretic Methods in Multiagent Networks

Graph Theoretic Methods in Multiagent Networks
Author: Mehran Mesbahi
Publisher: Princeton University Press
Total Pages: 424
Release: 2010-07-01
Genre: Mathematics
ISBN: 1400835356

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

Introduction to Graph Theory

Introduction to Graph Theory
Author: Richard J. Trudeau
Publisher: Courier Corporation
Total Pages: 242
Release: 2013-04-15
Genre: Mathematics
ISBN: 0486318664

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.

Game Theory in Wireless and Communication Networks

Game Theory in Wireless and Communication Networks
Author: Zhu Han
Publisher: Cambridge University Press
Total Pages: 555
Release: 2012
Genre: Business & Economics
ISBN: 0521196965

This unified 2001 treatment of game theory focuses on finding state-of-the-art solutions to issues surrounding the next generation of wireless and communications networks. The key results and tools of game theory are covered, as are various real-world technologies and a wide range of techniques for modeling, design and analysis.

Location on Networks

Location on Networks
Author: Gabriel Y. Handler
Publisher: MIT Press (MA)
Total Pages: 264
Release: 1979
Genre: Business & Economics
ISBN:

This study is concerned with the analytical aspects of facility location in systems where an underlying network structure exists.