Compare Prices | Create Shopping Lists with Price Drop Alerts | Set Coupons, Promo Codes & Sales Alerts | Get Access to Exclusive Deals and Much More... All in One Place | Read all about it here

Domination Games Played on Graphs

Domination Games Played on Graphs

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783030690861
Condition
New
Product Description

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 Bujts, 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 Bujts. 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.

Available Colors
Available Sizes
1 Offer Price Range: $54.99 - $54.99
BEST PRICE

Single Product Purchase

$54.99
@ Link.springer.com     BUY Now

Price Comparison

Seller Contact Seller List Price On Sale Shipping Best Promo Final Price Volume Discount Financing Availability Seller's Page
BEST PRICE
1 Product Purchase
@ Link.springer.com
Contact Store Call Store Contact Support
$54.99 $54.99

$54.99
See Site In stock Visit Store

Similar Products

A Flow-of-Funds Perspective on the Financial Crisis Volume II

$109.99

A New GeoComputation Pattern and Its Application in Dual-Evaluation

$169.99

Professionskulturen Charakteristika unterschiedlicher professioneller Praxen

$34.99

Computer control of flexible manufacturing systems

$169.99

Die Evaluation von Beratungsleistungen

$69.99

Measurement of Facilities Management Performance in Ghana's Public Hospitals

$109.99

A Practitioners Guide to Using Child Indicators

$39.99

Ergebnisse der Inneren Medizin und Kinderheilkunde

$79.99

Graph-Theoretic Concepts in Computer Science

$54.99

Deep Web Query Interface Understanding and Integration

$29.99

Therapie chronischer Schmerzzustnde in der Praxis

$69.99

Crucial Event Rehabilitation Therapy

$49.99

The Geology of Iberia: A Geodynamic Approach

$159.99

SCOTUS 2018

$19.99

Urban Centres in Asia and Latin America

$109.99

Die Friedensbewegung in der Bundesrepublik Deutschland

$44.99

Carl Schmitts Rolle bei der Machtkonsolidierung der Nationalsozialisten

$79.99

Die heimlichen Manager

$29.99

Organisation in der Produktionstechnik Band 4

$39.99

Music, Gestalt, and Computing

$84.99

Comprehensive Healthcare Simulation: Mastery Learning in Health Professions Education

$139.99

The National Innovation System of Belgium

$39.99

Beliefs About SLA

$109.99

Genomic Designing for Abiotic Stress Resistant Vegetable Crops

$219.00

Five Basic Institution Structures and Institutional Economics

$109.99

Genetics and the Law III

$39.99

Transformation Electromagnetics and Metamaterials

$169.99

Einflu des Selbstzndungsverhaltens der Kraftstoffe auf den Verbrennungsablauf, Wirkungsgrad und D

$59.99

Introduction to the Theory of Traffic Flow

$39.99

Sustainable Innovations in Recycled Textiles

$99.99

Electronic Literature in Latin America

$99.99

Rock Damage and Fluid Transport, Part I

$54.99

Modeling and Simulation: Theory and Practice

$129.00

Applied Statistical Methods in Agriculture, Health and Life Sciences

$79.99

Automated Deduction CADE 27

$69.99

History and Philosophy of Constructive Type Theory

$169.99

Social Cultural Engineering and the Singaporean State

$54.99

Atlas of Fetal Imaging

$129.00

El remedio para un resfriado

$5.96

Open Semantic Technologies for Intelligent Systems

$54.99