A class of highly symmetric Archdeacon embeddings

Archdeacon, in his seminal paper [1], defined the concept of Heffter array to provide explicit constructions of biembeddings of the complete graph K_v into orientable surfaces, the so-called Archdeacon embeddings, and proved that these embeddings are \mathbb{Z}_{v}-regular. In this paper, we show that an Archdeacon embedding may admit an automorphism... Show more