| Title: | On non-normal arc-transitive 4-valent dihedrants |
|---|
| Authors: | ID Kovács, István (Author)
ID Kuzman, Boštjan (Author)
ID Malnič, Aleksander (Author) |
|---|
| Files: |  http://www.springerlink.com/content/91474375p0273m92/fulltext.pdf
|
|---|
| Language: | English |
|---|
| Work type: | Not categorized |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | IAM - Andrej Marušič Institute
|
|---|
| Abstract: | Let ▫$X$▫ be a connected non-normal 4-valent arc-transitive Cayley graph on a dihedral group ▫$D_n$▫ such that ▫$X$▫ is bipartite, with the two bipartition sets being the two orbits of the cyclic subgroup within ▫$D_n$▫. It is shown that ▫$X$▫ is isomorphic either to the lexicographic product ▫$C_n[2K_1]$▫ with ▫$n \geq 4$▫ even, or to one of the five sporadic graphs on 10, 14, 26, 28 and 30 vertices, respectively. |
|---|
| Keywords: | Cayley graph, arc transitivity, dihedral group |
|---|
| Year of publishing: | 2010 |
|---|
| Number of pages: | str. 1485-1498 |
|---|
| Numbering: | Vol. 26, no. 8 |
|---|
| PID: | 20.500.12556/RUP-885  |
|---|
| ISSN: | 1439-8516 |
|---|
| UDC: | 519.17 |
|---|
| COBISS.SI-ID: | 1024270932 |
|---|
| Publication date in RUP: | 15.10.2013 |
|---|
| Views: | 3866 |
|---|
| Downloads: | 118 |
|---|
| 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. |
