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Fundamentals of Domination in Graphs

Fundamentals of Domination in Graphs
Author: Teresa W. Haynes
Publisher: CRC Press
Total Pages: 465
Release: 2013-12-16
Genre: Mathematics
ISBN: 1482246589

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"Provides the first comprehensive treatment of theoretical, algorithmic, and application aspects of domination in graphs-discussing fundamental results and major research accomplishments in an easy-to-understand style. Includes chapters on domination algorithms and NP-completeness as well as frameworks for domination."


Domination in Graphs

Domination in Graphs
Author: TeresaW. Haynes
Publisher: Routledge
Total Pages: 519
Release: 2017-11-22
Genre: Mathematics
ISBN: 1351454641

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""Presents the latest in graph domination by leading researchers from around the world-furnishing known results, open research problems, and proof techniques. Maintains standardized terminology and notation throughout for greater accessibility. Covers recent developments in domination in graphs and digraphs, dominating functions, combinatorial problems on chessboards, and more.


Total Domination in Graphs

Total Domination in Graphs
Author: Michael A. Henning
Publisher: Springer Science & Business Media
Total Pages: 184
Release: 2014-07-08
Genre: Mathematics
ISBN: 1461465257

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Total Domination in Graphs gives a clear understanding of this topic to any interested reader who has a modest background in graph theory. This book provides and explores the fundamentals of total domination in graphs. Some of the topics featured include the interplay between total domination in graphs and transversals in hypergraphs, and the association with total domination in graphs and diameter-2-critical graphs. Several proofs are included in this text which enables readers to acquaint themselves with a toolbox of proof techniques and ideas with which to attack open problems in the field. This work is an excellent resource for students interested in beginning their research in this field. Additionally, established researchers will find the book valuable to have as it contains the latest developments and open problems.


Fundamentals of Graph Theory

Fundamentals of Graph Theory
Author: Allan Bickle
Publisher: American Mathematical Soc.
Total Pages: 336
Release: 2020-03-10
Genre: Education
ISBN: 1470453428

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Graph theory is a fascinating and inviting branch of mathematics. Many problems are easy to state and have natural visual representations, inviting exploration by new students and professional mathematicians. The goal of this textbook is to present the fundamentals of graph theory to a wide range of readers. The book contains many significant recent results in graph theory, presented using up-to-date notation. The author included the shortest, most elegant, most intuitive proofs for modern and classic results while frequently presenting them in new ways. Major topics are introduced with practical applications that motivate their development, and which are illustrated with examples that show how to apply major theorems in practice. This includes the process of finding a brute force solution (case-checking) when an elegant solution is not apparent. With over 1200 exercises, internet resources (e.g., the OEIS for counting problems), helpful appendices, and a detailed guide to different course outlines, this book provides a versatile and convenient tool for the needs of instructors at a large variety of institutions.


Fundamentals of Algebraic Graph Transformation

Fundamentals of Algebraic Graph Transformation
Author: Hartmut Ehrig
Publisher: Springer Science & Business Media
Total Pages: 383
Release: 2006-05-01
Genre: Computers
ISBN: 3540311882

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This is the first textbook treatment of the algebraic approach to graph transformation, based on algebraic structures and category theory. It contains an introduction to classical graphs. Basic and advanced results are first shown for an abstract form of replacement systems and are then instantiated to several forms of graph and Petri net transformation systems. The book develops typed attributed graph transformation and contains a practical case study.


The Theory of Graphs

The Theory of Graphs
Author: Claude Berge
Publisher: Courier Corporation
Total Pages: 276
Release: 2001-01-01
Genre: Mathematics
ISBN: 9780486419756

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Concise, well-written text illustrates development of graph theory and application of its principles in methods both formal and abstract. Practical examples explain theory's broad range, from behavioral sciences, information theory, cybernetics, and other areas, to mathematical disciplines such as set and matrix theory. 1966 edition. Includes 109 black-and-white illustrations.


Topics on Domination

Topics on Domination
Author: S.T. Hedetniemi
Publisher: Elsevier
Total Pages: 277
Release: 1991-02-01
Genre: Mathematics
ISBN: 9780080867885

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The contributions in this volume are divided into three sections: theoretical, new models and algorithmic. The first section focuses on properties of the standard domination number &ggr;(G), the second section is concerned with new variations on the domination theme, and the third is primarily concerned with finding classes of graphs for which the domination number (and several other domination-related parameters) can be computed in polynomial time.


Fundamentals of Wireless Communication

Fundamentals of Wireless Communication
Author: David Tse
Publisher: Cambridge University Press
Total Pages: 598
Release: 2005-05-26
Genre: Technology & Engineering
ISBN: 1139444662

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The past decade has seen many advances in physical layer wireless communication theory and their implementation in wireless systems. This textbook takes a unified view of the fundamentals of wireless communication and explains the web of concepts underpinning these advances at a level accessible to an audience with a basic background in probability and digital communication. Topics covered include MIMO (multi-input, multi-output) communication, space-time coding, opportunistic communication, OFDM and CDMA. The concepts are illustrated using many examples from real wireless systems such as GSM, IS-95 (CDMA), IS-856 (1 x EV-DO), Flash OFDM and UWB (ultra-wideband). Particular emphasis is placed on the interplay between concepts and their implementation in real systems. An abundant supply of exercises and figures reinforce the material in the text. This book is intended for use on graduate courses in electrical and computer engineering and will also be of great interest to practising engineers.


Chromatic Graph Theory

Chromatic Graph Theory
Author: Gary Chartrand
Publisher: CRC Press
Total Pages: 503
Release: 2019-11-28
Genre: Mathematics
ISBN: 0429798288

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With Chromatic Graph Theory, Second Edition, the authors present various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. Readers will see that the authors accomplished the primary goal of this textbook, which is to introduce graph theory with a coloring theme and to look at graph colorings in various ways. The textbook also covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings. Features of the Second Edition: The book can be used for a first course in graph theory as well as a graduate course The primary topic in the book is graph coloring The book begins with an introduction to graph theory so assumes no previous course The authors are the most widely-published team on graph theory Many new examples and exercises enhance the new edition


Topics in Domination in Graphs

Topics in Domination in Graphs
Author: Teresa W. Haynes
Publisher: Springer Nature
Total Pages: 545
Release: 2020-10-19
Genre: Mathematics
ISBN: 3030511170

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This volume comprises 16 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The focus is on primary dominating sets such as paired domination, connected domination, restrained domination, dominating functions, Roman domination, and power domination. Additionally, surveys include known results with a sample of proof techniques for each parameter. Of extra benefit to the reader, the first chapter includes a glossary of commonly used terms; the second chapter provides an overview of models of domination from which the parameters are defined. The book is intended to provide a reference for established researchers in the fields of domination and graph theory and graduate students who wish to gain knowledge of the topics covered as well as an overview of the major accomplishments in the field and proof techniques used.