20.500.12556/RUL-175133 An infinite family of simple graphs underlying chiral, orientable reflexible and non-orientable rotary maps In 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. rotary maps chiral maps orientable reflexible maps non-orientable rotary maps true false true Angleški jezik Ni določen Članek v reviji 2025-10-17 11:47:31 2025-10-17 11:47:33 2026-07-01 15:04:06 0000-00-00 00:00:00 2026 0 0 Str. 384-403 Vol. 176 Jan. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.17 0095-8956 10.1016/j.jctb.2025.10.001 253641731 1-s2.0-S0095895625000747-main.pdf 1-s2.0-S0095895625000747-main.pdf 1 AD40F249445E1601E667B0D08724A37A d8978c7d63d9ce726d900f808ee4e489d942370f47a8abfbb7eb86eac8b0c472 4c504ecb-ab3f-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=220422 https://www.sciencedirect.com/science/article/pii/S0095895625000747 1 0b153e5d-ab3e-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=220421 Fakulteta za matematiko in fiziko Pedagoška fakulteta 0 0 0