Hui Yang

collaborators

2 papers

math.CO2018

Determination of the 4-genus of a complete graph (with an appendix)

Serge Lawrencenko, Beifang Chen, Hui Yang

In this paper, the quadrangular genus (4-genus) of the complete graph $K_{p}$ is shown to be $γ_{4} (K_{p}) = ⌈ p (p - 5) / 8 ⌉ + 1$ for orientable surfaces. This means that $K_p…

math.CO2016

Quadrangular embeddings of complete graphs and the Even Map Color Theorem (with details)

Wenzhong Liu, Serge Lawrencenko, Beifang Chen +5

Hartsfield and Ringel constructed orientable quadrangular embeddings of the complete graph $K_{n}$ for $n \equiv 5 (mod 8)$ , and nonorientable ones for $n \geq 9$ and $n\equiv 1 \pmod…