| Title: | On Hamiltonicity of circulant digraphs of outdegree three |
|---|
| Authors: | ID Miklavič, Štefko (Author) ID Šparl, Primož (Author) |
| Files: | http://dx.doi.org/10.1016/j.disc.2008.12.004
|
|---|
| Language: | English |
|---|
| Work type: | Not categorized |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | IAM - Andrej Marušič Institute
|
|---|
| Abstract: | This paper deals with Hamiltonicity of connected loopless circulant digraphs of outdegree three with connection set of the form ▫$\{a,ka,c\}$▫, where ▫$k$▫ is an integer. In particular, we prove that if ▫$k=-1$▫ or ▫$k=2$▫ such a circulant digraph is Hamiltonian if and only if it is not isomorphic to the circulant digraph on 12 vertices with connection set ▫$\{3,6,4\}$▫. |
|---|
| Keywords: | graph theory, circulant digraph, Hamilton cycle |
|---|
| Year of publishing: | 2009 |
|---|
| Number of pages: | str. 5437-5443 |
|---|
| Numbering: | Vol. 309, iss. 17 |
|---|
| PID: | 20.500.12556/RUP-3185  |
|---|
| ISSN: | 0012-365X |
|---|
| UDC: | 519.17 |
|---|
| COBISS.SI-ID: | 1024054100  |
|---|
| Publication date in RUP: | 15.10.2013 |
|---|
| Views: | 4930 |
|---|
| Downloads: | 109 |
|---|
| 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. |