Abstract
In this chapter, we consider parametrization and, especially, one with \(1\) complex parameter, i.e., the Goldberg–Coxeter construction \(GC_{k,l}(G_0)\) (a generalization of a simplicial subdivision of Dodecahedron considered in [Gold37] and [Cox71]), producing a plane graph from any \(3\)- or \(4\)-regular plane graph \(G_0\) for integer parameters \(k,l\ge 0\). See the main features of \(GC\)-construction in Table 6.1.
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Deza, MM., Dutour Sikirić, M., Shtogrin, M.I. (2015). Goldberg–Coxeter Construction and Parametrization. In: Geometric Structure of Chemistry-Relevant Graphs. Forum for Interdisciplinary Mathematics, vol 1. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2449-5_6
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