Nonisomorphic Orientable Quadrangular Embeddings and Edge-Colorings of <i>K</i><sub>12<i>s</i>+9</sub>
In this paper, by constructing the current graph of the complete graph [see formula in PDF] and a mapping function, we prove that [see formula in PDF] ([see formula in PDF] is an odd number) has at least [see formula in PDF] nonisomorphic orientable quadrangular embeddings, and the orientable genus is [see formula in PDF]. Every one of the nonisomorphic orientable quadrangular embeddings has at least twenty-four 4-edge-colors, and each color appears around each face of orientable quadrangular embeddings.
Authors
- J. Liu
- Zhaoxiang Li (ORCID: https://orcid.org/0009-0007-4195-3173)
Institutions
- Minzu University of China (CN)
- PLA Rocket Force University of Engineering (CN)
Publication Details
- Journal
- Wuhan University Journal of Natural Sciences
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1051/wujns/2024296563
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00