Abstract
We consider the zigzag and railroad structures of \(3\)-regular plane graphs and, especially, graphs \(a_v\), i.e., \(v-vertex\) \((\{a,6\},3)\)-spheres, where \(a=2\), \(3\), or \(4\). The case \(a=5\) has been treated in previous Chapter.
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Notes
- 1.
The two graphs \(3_{16}\) are cube truncated at \(4\) nonadjacent vertices or at \(4\) vertices of two opposite edges. The second one is unique, which is of type (ii) and (iii).
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Deza, MM., Dutour Sikirić, M., Shtogrin, M.I. (2015). Zigzags and Railroads of Spheres \(3_v\) and \(4_v\) . 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_3
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DOI: https://doi.org/10.1007/978-81-322-2449-5_3
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