Work

Nonisomorphic Orientable Quadrangular Embeddings and Edge-Colorings of K12s+9

Year: 2024

Type: article

Abstract: 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.

Source: Wuhan University Journal of Natural Sciences

DOI: 10.1051/wujns/2024296563

Authors: Zhaoxiang LI, Jiahong LIU

Institutions: Minzu University of China, PLA Rocket Force University of Engineering

Language: English

Topic: Advanced Graph Theory Research

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4406126039

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Cites: 14

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Related to: 10