Applied Dekker Domination Fundamentals Graph In Marcel Mathematics Pure
Applied Dekker Domination Fundamentals Graph In Marcel Mathematics Pure
FUNDAMENTALS OF DOMINATION IN GRAPHS PUREAND APPLIED MATHEMATICS AProgram of Monographs, Textbooks, and Lecture Notes
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.
Jul 13, 2024
"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.
; Fundamentals of domination in graphs ; Haynes, Teresa W., 1953-; ; Marcel Dekker; ; c1998; Fundamentals of domination in graphs Available at Alfred H. Clifford Mathematics Research LibraryMathematics Research Library Collection(Inf H424f)
Fundamentals of domination in graphs. - Marcel Dekker, 1998. - (Pure and Applied Mathematics - Dekker; 208). Zhang, Cun-Quan
Pure and Applied Mathematics, Marcel Dekker Short Title: Pure Appl. Math., Marcel Dekker Publisher: Marcel Dekker, Inc., New York, NY
Fundamentals of Domination in Graphs - Pure and Applied Mathematics Marcel DekkerAuthor: Teresa W. Haynes, Stephen T. Hedetniemi, Peter J. Slater, S. T. Hedetniemi Written by three internationally respected authorities in the field, this self-contained reference/text provides the first comprehensive treatment of theoretical, algorithmic, and application aspects of domination in graphs ...
Appropriate for use at different levels, Fundamentals of Domination in Graphs includes chapters on basic results and types of domination, domination algorithms and complexity, and frameworks for domination, as well as a host of pedagogical features, such as basic definitions and preliminary graph theoretic results ... end-of-chapter exercises and problems and noteworthy open research problems ...
"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."
Fundamentals of Domination in Graphs (Chapman & Hall/CRC Pure and Applied Mathematics) 🔍 Marcel Dekker Incorporated, Monographs and textbooks in pure and applied mathematics 208, 1, 1998 Teresa W. Haynes, Stephen I Hedetniemi, Peter J. Slater 🔍
Bounds on the domination number domination, independence and irredundance efficiency, redundancy and the duals changing and unchanging domination conditions on the dominating set varieties of domination multiproperty and multiset parameters sums and products of parameters dominating functions frameworks for domination domination complexity and algorithms are presented. Bounds on the domination ...
Abstract Nine variations of the concept of domination in a simple graph are identi ed as fundamental domination concepts, and a uni ed approach is introduced for studying them. For each variation, the minimum cardinality of a subset of dominating elements is the corresponding fundamental domination number.
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A "web graph" W (s,t) is obtained from the Cartesian product of cycle graph of order s\ and path graph of order\ t. In this paper, edge domination number of the web graph is determined.
As we have seen in Chapter 1, domination in graphs has roots in many sources, including defense strategies, games such as chess, computer communication networks, and network surveillance and security. In this chapter, we discuss the graph theoretical core concepts of...
PDF | Nine variations of the concept of domination in a simple graph are identified as fundamental domination concepts, and a unified approach is... | Find, read and cite all the research you need ...
Hedetniemi, S. T. Hedetniemi, S. T. Hedetniemi, S. T. Slater, Peter J. Slater, Peter J. Slater, Peter J. morehide Show AllShow Less Subject Domination (Graph theory) Domination (Graph theory) Domination (Graph theory) morehide Show AllShow Less Publisher New York : Marcel Dekker New York : Marcel Dekker New York : Marcel Dekker morehide Show ...
Pure and Applied Mathematics, Marcel Dekker Short Title: Pure Appl. Math., Marcel Dekker Publisher: Marcel Dekker, Inc., New York, NY
Abstract Domination in graphs has been an extensively researched branch of graph theory. In a graph, a domination set is a subset S of the vertices such that every vertices of V - S is adjacent to a vertex of S.
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 ...
Provides a toolbox of proof techniques used in domination theory Provides an in-depth introduction and a valuable resource for domination in graphs Focuses on three core concepts: domination, total domination, and independent domination
In this chapter, we discuss dominating functions in graphs, a concept birthed by Stephen Hedetniemi in the mid 1980s.
Complex algebraic geometry : an introduction to curves and surfaces. - Marcel Dekker, 1991. - (Monographs and Textbooks in Pure and Applied Mathematics; 149).
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. (source: Nielsen ...
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Favorite Fundamentals of domination in graphs by Haynes, Teresa W., 1953- Publication date 1998 Topics Domination (Graph theory) Publisher New York : Marcel Dekker Collection trent_university; internetarchivebooks; printdisabled Contributor Internet Archive Language English Item Size 908.5M xi, 446 p. ; 24 cm Includes bibliographical references ...
Professor of Mathematics, East Tennessee University - Cited by 15,571 - Graph Theory - Domination
Orthogonal functions, moment theory, and continued fractions. Theory and applications. - Marcel Dekker, 1998. - (Lecture Notes in Pure and Applied Mathematics; 199). Caenepeel, Stefaan & Verschoren, Alain
"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."
Is there a solutions manual for: T.W. Haynes, S.T. Hedetniemi, and P.J. Slater (eds.), Fundamentals of Domination in Graphs, Marcel Dekker, Inc. New York, 1998. If so ...
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The authors of the book T.W. Haynes, S.T. Hedetniemi, and P.J. Slater (eds.), Fundamentals of Domination in Graphs, Marcel Dekker, Inc. New York, 1998. cite more than ...
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In this paper, we introduce a new graph parameter called the domination defect of a graph. The domination number γ of a graph G is the minimum number of vertices required to dominate the vertices of G. Due to the minimality of γ, if a set of vertices of G has cardinality less than γ then there are vertices of G that are not dominated by that set. The k-domination defect of G is the minimum ...
Bounds have been given for the values of all three domination parameters on the queen's graph. In this paper, formations of queens are given that provide new bounds for the values of total, paired, and connected domination on the queen's graph, denoted , , and respectively.
Aug 1, 2025
Article MATH MathSciNet Google Scholar T. Haynes, S. Hedetniemi and R Slater, Fundamentals of Domination in Graphs, Marcel Dekker, New York, 1998. MATH Google Scholar T. Haynes, S. Hedetniemi and R Slater (eds), Domination in Graphs: Advanced Topics, Marcel Dekker, New York, 1998. MATH Google Scholar
This Edited Volume presents advanced topics in graph domination, featuring open problems, surveys, 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 more.
Discrete Geometry (pure And Applied Mathematics (marcel Dekker)) [PDF] [5ajqb3i9vsr0]. Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinator...
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Aims and Scope The Developments in Mathematics (DEVM) book series is devoted to publishing well-written monographs within the broad spectrum of pure and applied mathemat- ics. Ideally, each book should be self-contained and fairly comprehensive in treating a particular subject.
Domination has its origin in 1862 when C. F. De Jaenisch investigated the issue of identifying the smallest number of queens required to cover a chessboard. Around 1960 Berge and Ore started the mathematical exploration of domination theory in graphs. Let Z = (X, Y) denote any finite graph, and D represents any subset of vertex set X.
Fundamentals of domination in graphs Teresa W. Haynes, Stephen T. Hedetniemi, Peter J. Slater. Pure and applied mathematics 208; Pure and Applied Mathematics Dekker Monographs and textbooks in pure and applied mathematics Dekker 208.
Stephen Hedetniemi is perhaps best known for his pioneering work in domination in graphs. In this chapter, we explore some of his contributions to the direction and advancement of this field of study. We focus on two topics, namely domination of chessboard graphs and...
"Examining a topic that has been the subject of more than 300 articles since it was first conceived nearly 20 years ago, this monograph describes for the first
The k-domination number of a graph G, γk (G), is the order of a smallest k-dominating set of G. In this paper we calculate the k-domination number (for k = 2) of the product of two paths Pm × Pn for m = 1, 2, 3, 4, 5 and arbitrary n.
Containing the only comprehensive bibliography of more than 1200 published papers, Fundamentals of Domination in Graphs is a valuable reference for applied and discrete mathematicians, computer and systems engineers, communication network specialists, computer and social scientists, and operations researchers, as well as an excellent text for ...
Series Monographs and textbooks in pure and applied mathematics ; 208 Monographs and textbooks in pure and applied mathematics ; 208 morehide Show AllShow Less Publisher New York : Marcel Dekker New York : Marcel Dekker morehide Show AllShow Less Creation Date c1998 c1998 morehide Show AllShow Less Language English English morehide Show AllShow ...
Includes bibliographical references (pages 355-438) and index.;Summary/Abstract: Appropriate for use at different levels, Fundamentals of Domination in Graphs includes chapters on basic results and types of domination, domination algorithms and complexity, and frameworks for domination, as well as a host of pedagogical features, such as basic definitions and preliminary graph theoretic results ...
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