An infinite family of simple graphs underlying chiral, orientable reflexible and non-orientable rotary mapsHubard, Isabel (Avtor) Potočnik, Primož (Avtor) Šparl, Primož (Avtor) rotary mapschiral mapsorientable reflexible mapsnon-orientable rotary mapsIn this paper, we provide the first known infinite family of simple graphs, each of which is the skeleton of a chiral map, a skeleton of a reflexible map on an orientable surface, as well as a skeleton of a reflexible map on a non-orientable surface. This family consists of all lexicographic products $C_n[mK_1]$, where $m \ge 3, n=sm$, with $s$ an integer not divisible by $4$. This answers a question posed by Wilson in 2002.20262025-10-17 11:47:31Članek v reviji175133UDK: 519.17ISSN pri članku: 0095-8956DOI: 10.1016/j.jctb.2025.10.001COBISS_ID: 253641731sl