| dc.contributor.author | Balbuena Martínez, Maria Camino Teófila |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
| dc.date.accessioned | 2010-10-06T12:33:26Z |
| dc.date.available | 2010-10-06T12:33:26Z |
| dc.date.created | 2009-01 |
| dc.date.issued | 2009-01 |
| dc.identifier.citation | Balbuena, C. A construction of small regular bipartite graphs of girth 8. "Discrete mathematics and theoretical computer science", Gener 2009, vol. 11, núm. 2, p. 33-46. |
| dc.identifier.issn | 1365-8050 |
| dc.identifier.uri | http://hdl.handle.net/2117/9455 |
| dc.description.abstract | Let q be a prime a power and k an integer such that 3 ≤ k ≤ q. In this paper we present
a method using Latin squares to construct adjacency matrices of k-regular bipartite graphs of girth 8 on $2(kq^{2}-q)$ vertices. Some of these graphs have the smallest number of vertices among the known regular graphs with girth 8. |
| dc.format.extent | 14 p. |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs |
| dc.subject.lcsh | Magic squares |
| dc.subject.lcsh | Cages |
| dc.subject.lcsh | Graph theory |
| dc.subject.lcsh | Matrices |
| dc.title | A construction of small regular bipartite graphs of girth 8 |
| dc.type | Article |
| dc.subject.lemac | Quadrats màgics |
| dc.subject.lemac | Grafs, Teoria de |
| dc.subject.lemac | Matrius (Matemàtica) |
| dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
| dc.relation.publisherversion | http://www-ma3.upc.es/users/balbuena/PAPERS/consgirth8.pdf |
| dc.rights.access | Open Access |
| local.identifier.drac | 643614 |
| dc.description.version | Postprint (published version) |
| local.citation.author | Balbuena, C. |
| local.citation.publicationName | Discrete mathematics and theoretical computer science |
| local.citation.volume | 11 |
| local.citation.number | 2 |
| local.citation.startingPage | 33 |
| local.citation.endingPage | 46 |
