Titlebook: Domination in Graphs: Core Concepts; Teresa W. Haynes,Stephen T. Hedetniemi,Michael A. Book 2023 The Editor(s) (if applicable) and The Au

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Fundamentals of Domination,n networks, and network surveillance and security. In this chapter, we discuss the graph theoretical core concepts of domination and equivalent definitions for the domination number, thereby setting the foundation for the remaining chapters in the book. In order to explain the core concepts in domin

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Complexity and Algorithms for Domination in Graphs,domination in graphs. First, we consider the following general question: given an arbitrary graph ., how difficult is it to determine, or compute, the value of any of the following six basic domination parameters, which satisfy the following well-known inequalities:

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General Bounds,arbitrary graphs are all NP-complete. Given the difficulty of determining the exact values of these domination numbers, much of the research involves the determination of tight lower and upper bounds for these numbers. In this chapter, we present some of the more basic bounds on the domination, tota

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