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  • What is the difference between a directed graph and a complete graph?

    A graph in which each graph edge is replaced by a directed graph edge, also called a digraph. A directed graph having no multiple edges or loops (corresponding to a binary adjacency matrix with 0s on the diagonal) is called a simple directed graph. A complete graph in which each edge is bidirected is called a complete directed graph.

  • What is a graph with directed edges called?

    A graph with directed edges is called a directed graph or digraph. Definition 6.1.1. A directed graph G D .V; E/ consists of a nonempty set of nodes V and a set of directed edges E. Each edge e of E is specified by an ordered pair of vertices u; v 2 V . A directed graph is simple if it has no loops (that is, edges of the form u !

  • What is a complete digraph?

    A complete digraph is a directed graph in which every pair of distinct vertices is connected by a pair of unique edges (one in each direction). Graph theory itself is typically dated as beginning with Leonhard Euler 's 1736 work on the Seven Bridges of Königsberg.

  • What is a complete oriented graph?

    A complete graph in which each edge is bidirected is called a complete directed graph. A directed graph having no symmetric pair of directed edges (i.e., no bidirected edges) is called an oriented graph.

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