Shannon multigraph

In the mathematical discipline of graph theory, Shannon multigraphs, named after Claude Shannon by Vizing (1965), are a special type of triangle graphs, which are used in the field of edge coloring in particular.A Shannon multigraph is multigraph with 3 vertices for which either of the following conditions holds: a) all 3 vertices are connected by the same number of edges. b) as in a) and one additional edge is added.

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