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Dipyramidal Graph


DipyramidalGraphs

A n-dipyramidal graph is the skeleton of an n-sided dipyramid. It is isomorphic to the (m,2)-cone graph C_m+K^__2, where C_m is a cycle graph, K^__2 is the empty graph on 2 vertices, and G+H denotes a graph join.

The n-dipyramidal graph has vertex count n+2 and edge count 3n. Dipyramidal graphs are pancyclic.

The 3-dipyramidal graph is the unique graph K_5-e obtained by removing any single edge from the pentatope graph K_5.

Special cases are summarized in the following table.


See also

Cone Graph, Dipyramid, Double Cone Graph, Graph Join, Prism Graph, Pyramid, Wheel Graph

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Cite this as:

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

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