TOPICS
Search

Truncated Cubical Graph

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook
TruncatedCubicalGraph

The truncated cubical graph is 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

Explore with Wolfram|Alpha

References

House of Graphs. "Truncated Cubical Graph." https://houseofgraphs.org/graphs/1385.Read, R. C. and Wilson, R. J. An Atlas of Graphs. Oxford, England: Oxford University Press, p. 267, 1998.

Referenced on Wolfram|Alpha

Truncated Cubical Graph

Cite this as:

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

Subject classifications