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Author | : Boštjan Brešar |
Publisher | : Springer Nature |
Total Pages | : 131 |
Release | : 2021-04-15 |
Genre | : Mathematics |
ISBN | : 3030690873 |
Download Domination Games Played on Graphs Book in PDF, ePub and Kindle
This concise monograph present the complete history of the domination game and its variants up to the most recent developments and will stimulate research on closely related topics, establishing a key reference for future developments. The crux of the discussion surrounds new methods and ideas that were developed within the theory, led by the imagination strategy, the Continuation Principle, and the discharging method of Bujtás, to prove results about domination game invariants. A toolbox of proof techniques is provided for the reader to obtain results on the domination game and its variants. Powerful proof methods such as the imagination strategy are presented. The Continuation Principle is developed, which provides a much-used monotonicity property of the game domination number. In addition, the reader is exposed to the discharging method of Bujtás. The power of this method was shown by improving the known upper bound, in terms of a graph's order, on the (ordinary) domination number of graphs with minimum degree between 5 and 50. The book is intended primarily for students in graph theory as well as established graph theorists and it can be enjoyed by anyone with a modicum of mathematical maturity. The authors include exact results for several families of graphs, present what is known about the domination game played on subgraphs and trees, and provide the reader with the computational complexity aspects of domination games. Versions of the games which involve only the “slow” player yield the Grundy domination numbers, which connect the topic of the book with some concepts from linear algebra such as zero-forcing sets and minimum rank. More than a dozen other related games on graphs and hypergraphs are presented in the book. In all these games there are problems waiting to be solved, so the area is rich for further research. The domination game belongs to the growing family of competitive optimization graph games. The game is played by two competitors who take turns adding a vertex to a set of chosen vertices. They collaboratively produce a special structure in the underlying host graph, namely a dominating set. The two players have complementary goals: one seeks to minimize the size of the chosen set while the other player tries to make it as large as possible. The game is not one that is either won or lost. Instead, if both players employ an optimal strategy that is consistent with their goals, the cardinality of the chosen set is a graphical invariant, called the game domination number of the graph. To demonstrate that this is indeed a graphical invariant, the game tree of a domination game played on a graph is presented for the first time in the literature.
Author | : PETER KAPRA |
Publisher | : BOLSILIBROS |
Total Pages | : 91 |
Release | : 101-01-01 |
Genre | : Fiction |
ISBN | : |
Download DOMINATION Book in PDF, ePub and Kindle
Author | : Daniel Miller |
Publisher | : Routledge |
Total Pages | : 650 |
Release | : 2005-06-27 |
Genre | : Social Science |
ISBN | : 113480671X |
Download Domination and Resistance Book in PDF, ePub and Kindle
The nature of power - one of the central concerns in social science - is the main theme of this wide-ranging book. Introducing a much broader historical and geographical comparative understanding of domination and resistance than is available elsewhere, the editors and contributors offer a wealth of perspectives and case studies. They illustrate the application of these ideas to issues as diverse as ritualized space, the nature of hierarchy in non-capitalist contexts and the production of archaeological discourse. Drawing on considerable experience in promoting interaction between archaeology and other disciplines concerned with ideology, power and social transformation, the editors have brought together a stimulating book that will be of widespread interest amongst students of archaeology, ancient history, sociology, anthropology and human geography.
Author | : Stirling |
Publisher | : Baen |
Total Pages | : 0 |
Release | : 1999-05-31 |
Genre | : Fiction |
ISBN | : 9780671577940 |
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In this "tour de force" of alternate history and military science fiction, Stirling imagines a world where only the United States stands between the Draka and their dream of an enslaved humanity.
Author | : Ian Shapiro |
Publisher | : Harvard University Press |
Total Pages | : 145 |
Release | : 2016-04-04 |
Genre | : Political Science |
ISBN | : 0674970063 |
Download Politics against Domination Book in PDF, ePub and Kindle
Ian Shapiro makes a compelling case that the overriding purpose of politics should be to combat domination. Moreover, he shows how to put resistance to domination into practice at home and abroad. This is a major work of applied political theory, a profound challenge to utopian visions, and a guide to fundamental problems of justice and distribution. “Shapiro’s insights are trenchant, especially with regards to the Citizens United decision, and his counsel on how the ‘status-quo bias’ in national political institutions favors the privileged. After more than a decade of imperial overreach, his restrained account of foreign policy should likewise find support.” —Scott A. Lucas, Los Angeles Review of Books “Shapiro has a brief and compelling section on the importance of hope in his first chapter. This book enacts and encourages hope, with its analytical clarity, deep engagement of complicated political issues that resist easy theorizing, and emphasis on the politically possible.” —Kathleen Tipler, Political Science Quarterly “Offers important insights for thinking about democracy’s prospects.” —Christopher Hobson, Perspectives on Politics
Author | : William Leiss |
Publisher | : McGill-Queen's Press - MQUP |
Total Pages | : 274 |
Release | : 1994 |
Genre | : Nature |
ISBN | : 9780773511989 |
Download Domination of Nature Book in PDF, ePub and Kindle
A revision of the author's thesis, University of California, San Diego. Bibliography: p. 223-231.
Author | : |
Publisher | : |
Total Pages | : 756 |
Release | : 1910 |
Genre | : Education |
ISBN | : |
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Author | : Richard Oram |
Publisher | : Edinburgh University Press |
Total Pages | : 448 |
Release | : 2011-02-21 |
Genre | : History |
ISBN | : 0748687688 |
Download Domination and Lordship Book in PDF, ePub and Kindle
This book discussed the processes by which the Gaelic kingdom of Alba established its mastery over the lesser kingdoms of northern mainland Britain and transformed itself into a state recognisable as Scotland.
Author | : Dankwart A. Rustow |
Publisher | : Princeton University Press |
Total Pages | : 748 |
Release | : 2014-07-14 |
Genre | : History |
ISBN | : 1400856744 |
Download Freedom and Domination Book in PDF, ePub and Kindle
Presented here is a condensed translation of Alexander Rustow's three-volume Ortsbestimmung der Gegenwart. This monumental work was widely acclaimed by critics throughout Europe as a major contribution to both historical and sociological scholarship. Recognized as one of the foremost exponents of neoliberal thought, and thus as one of the intellectual authors of West Germany's economic miracle," Rustow--in his magnum opus--tried to determine what social patterns and trends of thought enhance the human condition and what other patterns and trends lead to repression and barbarism. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author | : |
Publisher | : |
Total Pages | : 548 |
Release | : 1915 |
Genre | : World War, 1914-1918 |
ISBN | : |
Download Viereck's the American Weekly Book in PDF, ePub and Kindle