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Truncated Cubical Graph

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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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