Representations, Implementations and Algorithms of Graphs (and Trees)

Terminology A graph \(G = (V, E)\) consists of a set of vertices \(V\) and a set of edges \(E\), such that each edge in \(E\) is a connection between a pair of vertices in \(V\)1 The number of vertices is written \(|V|\), and the number of edges is written \(|E|\). \(|E|\) can range from zero to a maximum of \(|V|^{2} - |V|\). A graph with relatively few edges is called sparse, while a graph with many edges is called dense....

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