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 $n\equiv 5(\mathrm{mod}8)$, and nonorientable ones for $n\ge 9$ and $n\equiv 1 \pmod…