Rotary Hypermaps of Genus 2


We classify the rotary hypermaps (sometimes called regular hypermaps) on an orientable surface of genus 2. There are 43 of them, of which 10 are maps (classified by Threlfall), 20 more can be obtained from the 10 maps by applying Machì’s operations, and the remaining 13 may be obtained from the maps by using Walsh’s bijection between maps and hypermaps. As a corollary, we deduce that there are no non-orientable reflexible hypermaps of characteristic −1

Similar works

Full text



Last time updated on 23/10/2014

This paper was published in CiteSeerX.

Having an issue?

Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.