| Title: | On quartic half-arc-transitive metacirculants |
|---|
| Authors: | ID Marušič, Dragan (Author)
ID Šparl, Primož (Author) |
|---|
| Files: |  http://dx.doi.org/10.1007/s10801-007-0107-y
|
|---|
| Language: | English |
|---|
| Work type: | Not categorized |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | IAM - Andrej Marušič Institute
|
|---|
| Abstract: | Following Alspach and Parsons, a metacirculant graph is a graph admitting a transitive group generated by two automorphisms ▫$\rho$▫ and ▫$\sigma$▫, where ▫$\rho$▫ is ▫$(m,n)$▫-semiregular for some integers ▫$m \ge 1$▫, ▫$n \ge 2▫$, and where ▫$\sigma$▫ normalizes ▫$\rho$▫, cyclically permuting the orbits of ▫$\rho$▫ in such a way that ▫$\sigma^m$▫ has at least one fixed vertex. A half-arc-transitive graph is a vertex- and edge- but not arc-transitive graph. In this article quartic half-arc-transitive metacirculants are explored and their connection to the so called tightly attached quartic half-arc-transitive graphs is explored. It is shown that there are three essentially different possibilities for a quartic half-arc-transitive metacirculant which is not tightly attached to exist. These graphs are extensively studied and some infinite families of such graphs are constructed. |
|---|
| Keywords: | mathematics, graph theory, metacirculant graph, half-arc-transitive graph, tightly attached, automorphism group |
|---|
| Year of publishing: | 2008 |
|---|
| Number of pages: | str. 365-395 |
|---|
| Numbering: | Vol. 28, no. 3 |
|---|
| PID: | 20.500.12556/RUP-1311  |
|---|
| ISSN: | 0925-9899 |
|---|
| UDC: | 519.17 |
|---|
| COBISS.SI-ID: | 14625113 |
|---|
| Publication date in RUP: | 15.10.2013 |
|---|
| Views: | 4532 |
|---|
| Downloads: | 133 |
|---|
| Metadata: |    |
|---|
|
:
|
Copy citation |
|---|
| | | | Average score: | (0 votes) |
|---|
| Your score: | Voting is allowed only for logged in users. |
|---|
| Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
