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Polyhedral 10-Vertex Graph

A polyhedral 10-vertex graph is a polyhedral graph on ten vertices. There are 32,300 nonisomorphic polyhedral 10-vertex graphs, as first enumerated by Duijvestijn and Federico (1981).

The name "decahedral graph" is also used for this class (Gayathri 2018, p. 51).

See also

Decahedral Graph, Polyhedral Graph

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References

Duijvestijn, A. J. W. and Federico, P. J. "The Number of Polyhedral (3-Connected Planar) Graphs." Math. Comput. 37, 523-532, 1981. https://doi.org/10.1090/S0025-5718-1981-0628713-3.Gayathri, A. "A Study on Higher Order Triangular Sum Numbers of Polyhedral and Graceful Graphs." Math. Sci. Internat. Res. J. 7, 48-55, 2018. https://kanchiuniv.ac.in/wp-content/uploads/2022/02/Research-Compendium-2018.pdf.House of Graphs. Polyhedral 10-Vertex Graphs. Wheel W_10, and others.

Cite this as:

Weisstein, Eric W. "Polyhedral 10-Vertex Graph." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Polyhedral10-VertexGraph.html

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