Exponents of one-vertex maps and $t$-balanced maps

Year, pages: 2007, 19 - 28

A Cayley map is a Cayley graph embedded in an orientable surface in such a way that the cyclic order of generators is the same at each vertex. An exponent of a Cayley map is a number $e$ with the property that (loosely speaking) the Cayley map is isomorphic to its `$e$-fold rotational image'. Cayley maps for the trivial group are important since each Cayley map is a regular lift of a one-vertex Cayley map. In our contribution we present results on exponents of one-vertex maps, with emphasis on maps exhibiting certain types of symmetry in the distribution of generators and their inverses.

Líšková, Ľ. 2007. Exponents of one-vertex maps and $t$-balanced maps. In Tatra Mountains Mathematical Publications, vol. 36, no.2, pp. 19-28. 1210-3195.

Líšková, Ľ. (2007). Exponents of one-vertex maps and $t$-balanced maps. Tatra Mountains Mathematical Publications, 36(2), 19-28. 1210-3195.