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Date: 26-7-2016
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Complete graphs are simple graphs such that any two vertices are joined by an edge. As an unlabelled graph, a complete graph is simply determined
by the number n of its vertices. It is generally denoted by Kn (see Figure 1.1for the case n = 5). The number of edges m of Kn is equal to the binomial
coefficient ,that is:
Figure 1.1. The complete graph K5
Note. More generally, we can write for any simple graph with n vertices and m edges (indicate why):
Graph Theory and Applications ,Jean-Claude Fournier, WILEY, page(28)
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