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Graph Cube


The cube of a graph is defined as its third graph power.

Since raising any graph to the power of its graph diameter gives a complete graph, the cube of any graph with graph diameter <=3 is a complete graph. Classes of such graphs include cocktail party graphs, complete graphs, complete bipartite graphs, complete tripartite graphs, dipyramid graphs, star graphs, and wheel graphs.

The following table summarizes the cube of some cube families of graphs.


See also

Graph Power, Graph Product, Graph Square

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Cite this as:

Weisstein, Eric W. "Graph Cube." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GraphCube.html

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