The Balaban 11-cage is a type of graph that is part of a family of structures known as cage graphs. Cages are defined as regular graphs that have the smallest possible number of edges for a given number of vertices and girth (the length of the shortest cycle in the graph). Specifically, the Balaban 11-cage is an (11, 3)-cage, meaning it has 11 vertices and a girth of 3.
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