Hybrid Graph Theory And Network Analysis
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| Author | : Ladislav Novak |
| Publisher | : Cambridge University Press |
| Total Pages | : 188 |
| Release | : 2009-09-03 |
| Genre | : Computers |
| ISBN | : 9780521106597 |
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.
| Author | : Ladislav Novak |
| Publisher | : Cambridge University Press |
| Total Pages | : 190 |
| Release | : 1999-09-02 |
| Genre | : Computers |
| ISBN | : 0521461170 |
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.
| 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.
| 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.
| Author | : Ilwoo Cho |
| Publisher | : CRC Press |
| Total Pages | : 446 |
| Release | : 2013-09-11 |
| Genre | : Mathematics |
| ISBN | : 146659019X |
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.
| Author | : Krishnaiyan "KT" Thulasiraman |
| Publisher | : CRC Press |
| Total Pages | : 1217 |
| Release | : 2016-01-05 |
| Genre | : Computers |
| ISBN | : 1420011073 |
The fusion between graph theory and combinatorial optimization has led to theoretically profound and practically useful algorithms, yet there is no book that currently covers both areas together. Handbook of Graph Theory, Combinatorial Optimization, and Algorithms is the first to present a unified, comprehensive treatment of both graph theory and c
| Author | : Ulrich Knauer |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 350 |
| Release | : 2019-10-08 |
| Genre | : Mathematics |
| ISBN | : 3110617366 |
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.
| Author | : A. S. Troelstra |
| Publisher | : Cambridge University Press |
| Total Pages | : 436 |
| Release | : 2000-07-27 |
| Genre | : Computers |
| ISBN | : 9780521779111 |
This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.
| Author | : H. Simmons |
| Publisher | : Cambridge University Press |
| Total Pages | : 414 |
| Release | : 2000-05-18 |
| Genre | : Computers |
| ISBN | : 9780521771733 |
An introduction to simple type theory, containing 200 exercises with complete solutions.
| Author | : David Easley |
| Publisher | : Cambridge University Press |
| Total Pages | : 745 |
| Release | : 2010-07-19 |
| Genre | : Computers |
| ISBN | : 1139490303 |
Are all film stars linked to Kevin Bacon? Why do the stock markets rise and fall sharply on the strength of a vague rumour? How does gossip spread so quickly? Are we all related through six degrees of separation? There is a growing awareness of the complex networks that pervade modern society. We see them in the rapid growth of the internet, the ease of global communication, the swift spread of news and information, and in the way epidemics and financial crises develop with startling speed and intensity. This introductory book on the new science of networks takes an interdisciplinary approach, using economics, sociology, computing, information science and applied mathematics to address fundamental questions about the links that connect us, and the ways that our decisions can have consequences for others.
