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Recursive generation of simple planar quadrangulations with vertices of degree 3 and 4

Mahdieh Hasheminezhad, Brendan D. McKay (2010)

Discussiones Mathematicae Graph Theory

We describe how the simple planar quadrangulations with vertices of degree 3 and 4, whose duals are known as octahedrites, can all be obtained from an elementary family of starting graphs by repeatedly applying two expansion operations. This allows for construction of a linear time generator of all graphs in the class with at most a given order, up to isomorphism.

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