Cayley graphs of given degree and diameters 3, 4 and 5
| dc.contributor.author | Vetrik, Tomas | |
| dc.date.accessioned | 2012-12-13T06:24:55Z | |
| dc.date.available | 2012-12-13T06:24:55Z | |
| dc.date.issued | 2013-02-06 | |
| dc.description.abstract | Let Cd,k be the largest number of vertices in a Cayley graph of degree d and diameter k. We show that Cd,3 ≥ 3 16 (d − 3)3 and Cd,5 ≥ 25( d−7 4 )5 for any d ≥ 8, and Cd,4 ≥ 32( d−8 5 )4 for any d ≥ 10. For sufficiently large d our graphs are the largest known Cayley graphs of degree d and diameters 3, 4 and 5. | en_US |
| dc.description.uri | http://www.elsevier.com/locate/disc | en_US |
| dc.identifier.citation | Vetrik Tomas, Cayley graphs of given degree and diameters 3, 4 and 5, Discrete Mathematics, vol 313, no. 3, pp. 213-216 (2013), doi: 10.1016/j.disc.2012.10.006 | en_US |
| dc.identifier.issn | 0012-365X (print) | |
| dc.identifier.issn | 1872-681X (online) | |
| dc.identifier.other | 10.1016/j.disc.2012.10.006 | |
| dc.identifier.uri | http://hdl.handle.net/2263/20805 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | © 2012 Elsevier. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Discrete Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Discrete Mathematics, vol 131, issue 3, February 2013, doi: 10.1016/j.disc.2012.10.006. | en_US |
| dc.subject | Cayley graph | en_US |
| dc.subject | Degree | en_US |
| dc.subject | Diameter | en_US |
| dc.title | Cayley graphs of given degree and diameters 3, 4 and 5 | en_US |
| dc.type | Postprint Article | en_US |