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Truncated Cubical Graph


TruncatedCubicalGraph

The cubic Archimedean graph on 24 nodes and 36 edges that is the skeleton of the truncated cube. It is implemented in the Wolfram Language as GraphData["TruncatedCubicalGraph"]. It corresponds to the 3-dimensional cube-connected cycle graph.

It has LCF notation [2,9,-2,2,-9,-2]^4.

The truncated cubical graph has graph spectrum (-2)^5(1/2(1-sqrt(17)))^3(-1)^30^51^12^3(1/2(1+sqrt(17))^33^1.


See also

Archimedean Graph, Cube-Connected Cycle Graph, Truncated Cube

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References

Read, R. C. and Wilson, R. J. An Atlas of Graphs. Oxford, England: Oxford University Press, p. 267, 1998.

Cite this as:

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

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