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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Book 2023nd independent domination. It contains major results on these foundational?domination numbers, including a wide variety of in-depth proofs of selected results providing the reader with a toolbox of proof techniques used in domination?theory. Additionally, the book is intended as an invaluable refere

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General Bounds,l domination, and independent domination numbers of graphs. Additional bounds on these parameters will be given throughout the text, particularly in Chapter 6 in terms of minimum degree and Chapter 8 in terms of size.

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Efficient Domination in Graphs,les. Thus, the study of efficient domination in graphs focuses primarily on families of graphs each member of which has an efficient dominating set, and then algorithms for finding such sets, or on families of graphs for which it can be determined in polynomial time which members do and do not have efficient dominating sets.

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過濾

Hubert Wiggering,Armin Sandh?veltions for the domination number, thereby setting the foundation for the remaining chapters in the book. In order to explain the core concepts in domination in graphs, we need only a few definitions, which are given in the glossary in Appendix A and in Chapter 1.

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, ?-Carboline als k?rpereigene Halluzinogene 4, no tight bound on the domination number is yet known. When δ is sufficiently large, optimal bounds on the domination number can be found using the Probabilistic Method. We present several such probabilistic bounds, including one for the total domination number, in this chapter.

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