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arXiv · 2311.13741

Genus of Embedded Graphs in Orientable Closed Surfaces

Lorena Armas-Sanabria·Víctor Núñez
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Abstract

We give an algorithm to calculate the minimal and maximal genus of the orientable closed surface where a graph $G$ can be embedded. For this, we construct some special branched coverings of the 2-sphere. We apply this algorithm to calculate the orientable genus and maximal genus of some Snarks graphs.

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BibTeXRIS

Lorena Armas-Sanabria, Víctor Núñez. 2023-11-23. Genus of Embedded Graphs in Orientable Closed Surfaces. https://arxiv.org/abs/2311.13741

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