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| name = Complete graph | image = | image_caption = , a complete graph with 7 vertices | vertices = | radius = | diameter = | girth =}} In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. 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).| edges =
|notation = | automorphisms = | chromatic_number = | chromatic_index = if is odd
if is even | spectrum = | properties =
Symmetric graph
Vertex-transitive
Edge-transitive
Strongly regular
Integral
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