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Domination and Distance k-domination stable graphs
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In the first chapter of this book, we provide basic definitions and theorems which are used in the subsequent chapters. In the second chapter, we define domination polynomial, domination root and d- number of a graph. Moreover, we introduce d- stable and d-unstable graphs. Domination polynomial of some graphs and domination polynomial of square of some graphs are provided. Bounds for domination roots of some graphs are included. Examples of some d- stable and d-unstable graphs are included. Chapter 3 considers the study of distance k- domination polynomial, distance k-domination root and d k number of a graph. We have also discussed d k stable and d k unstable graphs. Chapter 4 deals with some general properties of domination and distance k domination polynomials.
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