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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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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Upper Bounds in Terms of Minimum Degree,ber are all NP-complete, it is of interest to determine good upper bounds on these parameters. In Chapter 4we presented some of the more basic bounds. In this chapterwe continue with bounds on these parameters in terms of the order of the graph and its minimum degree.

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Domination in Graphs: Core Concepts978-3-031-09496-5Series ISSN 1439-7382 Series E-ISSN 2196-9922

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Hubert Wiggering,Armin Sandh?veldomination 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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Psychiatrische Forschung in Jena seit 1994ber are all NP-complete, it is of interest to determine good upper bounds on these parameters. In Chapter 4we presented some of the more basic bounds. In this chapterwe continue with bounds on these parameters in terms of the order of the graph and its minimum degree.

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https://doi.org/10.1007/978-3-642-57417-7Trees are perhaps the simplest of all graph families, so it is not surprising that much research has been done involving domination in trees. Some of the most significant results on domination in trees are presented in this chapter.

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Wirtschaftswissenschaftliche Beitr?geThe order |.| = . and size |.| = . of a graph . = (., .) are the two most fundamental graph parameters. In this chapter, we study how the size of a graph relates to its domination, total domination, and independent domination numbers.