| Title: | An infinite family of simple graphs underlying chiral, orientable reflexible and non-orientable rotary maps |
|---|
| Authors: | ID Hubard, Isabel (Author)
ID Potočnik, Primož (Author)
ID Šparl, Primož (Author) |
|---|
| Files: |  PDF - Presentation file, download (895,56 KB)
MD5: 5AF6A3A10238FE73C02C56F83560F357
 URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0095895625000747
|
|---|
| Language: | English |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
|
|---|
| Abstract: | 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. |
|---|
| Keywords: | rotary maps, chiral maps, orientable reflexible maps, non-orientable rotary maps |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Publication date: | 01.01.2026 |
|---|
| Year of publishing: | 2026 |
|---|
| Number of pages: | str. 384-403 |
|---|
| Numbering: | Vol. 176 |
|---|
| PID: | 20.500.12556/DiRROS-23887  |
|---|
| UDC: | 519.17 |
|---|
| ISSN on article: | 0095-8956 |
|---|
| DOI: | 10.1016/j.jctb.2025.10.001 |
|---|
| COBISS.SI-ID: | 253641731 |
|---|
| Publication date in DiRROS: | 17.10.2025 |
|---|
| Views: | 180 |
|---|
| Downloads: | 84 |
|---|
| Metadata: |    |
|---|
|
:
|
Copy citation |
|---|
| | | | Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
