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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Nordhaus-Gaddum Bounds,In this chapter, we consider bounds on the sum and product of the domination numbers of a graph . and its complement .. Similar sum and product bounds for the total domination and independent domination numbers are also presented.

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Domination in Grids and Hypercubes,In this chapter,we study domination in certain classes of graphs that can be constructed from the Cartesian product operation □ of two graphs. In particular, we present results on domination in grid-like graphs and also in the class of graphs called hypercubes.

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