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Complete graph

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A complete graph is a simple graph where an edge connects every pair of vertices. A complete graph on n vertices has n vertices and n(n-1)/2 edges, and is indicated by the notation Kn. It is a regular graph of valence n-1.

A complete bipartite graph[?] is a graph with vertices segregated into two sets, where an edge connects every pair of vertices where they are not in the same set.

Complete graphs on n vertices, for n between 1 and 8, are shown below:

nKn nKn
1Graph k1.jpg 5Graph k5.jpg
2Graph k2.jpg 6Graph k6.jpg
3Graph k3.jpg 7Graph k7.jpg
4Graph k4.jpg                    8Graph k8.jpg

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