Preliminaries
Abstract
In this chapter, some preliminaries are introduced for later chapters. First of all, some definitions and lemmas related to matrix theory and stability theory are provided. Then, we introduce some knowledge related to basic graph theory and give some examples for readers' better understanding. In particular, the properties of Laplacian matrices are summarized in detail. Finally, some lemmas on inequalities used in this book are provided.
Keywords
Graph theory; Laplacian matrix; Stability theory
Useful preliminaries are generally introduced in this chapter for later use, such as matrix theory, stability theory and graph theory.
2.1 Matrix theory
In this section, some mathematical notations and basic definitions that will be used ...
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