Abstract
On the basis of the joint tree model initiated in Liu (The non-orientable maximum genus of a graph (in Chinese), Scieulia Sinica, Special Issue on Math. I 191–201, 1979) and comprehensively described in Liu (Theory of Polyhedra (in English), Science Press, Beijing, 2008), this paper provides the numbers of topologically non-equivalent orientable embeddings of a new type of 3-regular graphs by genus via classifying the associate polyhegons.
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Supported by NNSFC under Grant 10871021, 70661001.
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Zeng, J., Liu, Y. & Hao, R. Counting Orientable Embeddings by Genus for a Type of 3-Regular Graph. Graphs and Combinatorics 28, 133–142 (2012). https://doi.org/10.1007/s00373-011-1029-y
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DOI: https://doi.org/10.1007/s00373-011-1029-y