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Author: S.T. Hedetniemi
Publisher: Elsevier
ISBN: 9780080867885
Category : Mathematics
Languages : en
Pages : 277
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Book Description
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.
Author: S.T. Hedetniemi
Publisher: Elsevier
ISBN: 9780080867885
Category : Mathematics
Languages : en
Pages : 277
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Book Description
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.
Author: TeresaW. Haynes
Publisher: Routledge
ISBN: 1351454641
Category : Mathematics
Languages : en
Pages : 519
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Book Description
""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.
Author: Teresa W. Haynes
Publisher: Springer Nature
ISBN: 3030511170
Category : Mathematics
Languages : en
Pages : 545
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Book Description
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.
Author: Michael A. Henning
Publisher: Springer Science & Business Media
ISBN: 1461465257
Category : Mathematics
Languages : en
Pages : 178
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Book Description
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.
Author: Teresa W. Haynes
Publisher: CRC Press
ISBN: 1482246589
Category : Mathematics
Languages : en
Pages : 465
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Book Description
"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."
Author: Teresa W. Haynes
Publisher: Springer Nature
ISBN: 3030588920
Category : Mathematics
Languages : en
Pages : 536
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Book Description
This volume comprises 17 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The book is divided into 3 parts. The first part focuses on several domination-related concepts: broadcast domination, alliances, domatic numbers, dominator colorings, irredundance in graphs, private neighbor concepts, game domination, varieties of Roman domination and spectral graph theory. The second part covers domination in hypergraphs, chessboards, and digraphs and tournaments. The third part focuses on the development of algorithms and complexity of signed, minus and majority domination, power domination, and alliances in graphs. The third part also includes a chapter on self-stabilizing algorithms. Of extra benefit to the reader, the first chapter includes a glossary of commonly used terms. 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 and proof techniques used in the field.
Author: Ismael González Yero
Publisher: MDPI
ISBN: 3039435159
Category : Mathematics
Languages : en
Pages : 146
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Book Description
This book presents a compendium of the 10 articles published in the recent Special Issue “Distance and Domination in Graphs”. The works appearing herein deal with several topics on graph theory that relate to the metric and dominating properties of graphs. The topics of the gathered publications deal with some new open lines of investigations that cover not only graphs, but also digraphs. Different variations in dominating sets or resolving sets are appearing, and a review on some networks’ curvatures is also present.
Author: K. Sabeel Rahman
Publisher: Oxford University Press
ISBN: 019046853X
Category : Political Science
Languages : en
Pages : 257
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Book Description
In 2008, the collapse of the US financial system plunged the economy into the worst economic downturn since the Great Depression. In its aftermath, the financial crisis pushed to the forefront fundamental moral and institutional questions about how we govern the modern economy. What are the values that economic policy ought to prioritize? What institutions do we trust to govern complex economic dynamics? Much of popular and academic debate revolves around two competing approaches to these fundamental questions: laissez-faire defenses of self-correcting and welfare-enhancing markets on the one hand, and managerialist turns to the role of insulated, expert regulation in mitigating risks and promoting growth on the other. In Democracy Against Domination, K. Sabeel Rahman offers an alternative vision for how we should govern the modern economy in a democratic society. Drawing on a rich tradition of economic reform rooted in the thought and reform politics of early twentieth century progressives like John Dewey and Louis Brandeis, Rahman argues that the fundamental moral challenge of economic governance today is two-fold: first, to counteract the threats of economic domination whether in the form of corporate power or inequitable markets; and second, to do so by expanding the capacity of citizens themselves to exercise real political power in economic policymaking. This normative framework in turn suggests a very different way of understanding and addressing major economic governance issues of the post-crisis era, from the challenge of too-big-to-fail financial firms, to the dangers of regulatory capture and regulatory reform.
Author: Teresa W. Haynes
Publisher: Springer Nature
ISBN: 3031094964
Category : Mathematics
Languages : en
Pages : 655
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Book Description
This monograph is designed to be an in-depth introduction to domination in graphs. It focuses on three core concepts: domination, total domination, and independent domination. It contains major results on these foundational domination numbers, including a wide variety of in-depth proofs of selected results providing the reader with a toolbox of proof techniques used in domination theory. Additionally, the book is intended as an invaluable reference resource for a variety of readerships, namely, established researchers in the field of domination who want an updated, comprehensive coverage of domination theory; next, researchers in graph theory who wish to become acquainted with newer topics in domination, along with major developments in the field and some of the proof techniques used; and, graduate students with interests in graph theory, who might find the theory and many real-world applications of domination of interest for masters and doctoral thesis topics. The focused coverage also provides a good basis for seminars in domination theory or domination algorithms and complexity. The authors set out to provide the community with an updated and comprehensive treatment on the major topics in domination in graphs. And by Jove, they’ve done it! In recent years, the authors have curated and published two contributed volumes: Topics in Domination in Graphs, © 2020 and Structures of Domination in Graphs, © 2021. This book rounds out the coverage entirely. The reader is assumed to be acquainted with the basic concepts of graph theory and has had some exposure to graph theory at an introductory level. As graph theory terminology sometimes varies, a glossary of terms and notation is provided at the end of the book.
Author: Danielle Allen
Publisher: University of Chicago Press
ISBN: 022668122X
Category : Political Science
Languages : en
Pages : 366
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Book Description
Around the globe, democracy appears broken. With political and socioeconomic inequality on the rise, we are faced with the urgent question of how to better distribute power, opportunity, and wealth in diverse modern societies. This volume confronts the dilemma head-on, exploring new ways to combat current social hierarchies of domination. Using examples from the United States, India, Germany, and Cameroon, the contributors offer paradigm-changing approaches to the concepts of justice, identity, and social groups while also taking a fresh look at the idea that the demographic make-up of institutions should mirror the make-up of a populace as a whole. After laying out the conceptual framework, the volume turns to a number of provocative topics, among them the pernicious tenacity of implicit bias, the logical contradictions inherent to the idea of universal human dignity, and the paradoxes and problems surrounding affirmative action. A stimulating blend of empirical and interpretive analyses, Difference without Domination urges us to reconsider the idea of representation and to challenge what it means to measure equality and inequality.
