## Abstract We prove that all 3‐connected 4‐regular planar graphs can be generated from the Octahedron Graph, using three operations. We generated these graphs up to 15 vertices inclusive. Moreover, by including a fourth operation we obtain an alternative to a procedure by Lehel to generate all con
Generating all 4-regular planar graphs from the graph of the octahedron
✍ Scribed by Jenö Lehel
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 151 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
It has been communicated by P. Manca in this journal that all 4‐regular connected planar graphs can be generated from the graph of the octahedron using simple planar graph operations. We point out an error in the generating procedure and correct it by including an additional operation.
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