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Artículo
The determining number of Kneser graphs
dc.creator | Cáceres González, José | |
dc.creator | Garijo Royo, Delia | |
dc.creator | González Herrera, Antonio | |
dc.creator | Márquez Pérez, Alberto | |
dc.creator | Puertas González, María Luz | |
dc.date.accessioned | 2016-03-18T11:28:41Z | |
dc.date.available | 2016-03-18T11:28:41Z | |
dc.date.issued | 2013 | |
dc.identifier.uri | http://hdl.handle.net/11441/38829 | |
dc.description.abstract | A set of vertices S is a determining set of a graph G if every automorphism of G is uniquely determined by its action on S. The determining number of G is the minimum cardinality of a determining set of G. This paper studies the determining number of Kneser graphs. First, we compute the determining number of a wide range of Kneser graphs, concretely Kn:k with n≥k(k+1) / 2+1. In the language of group theory, these computations provide exact values for the base size of the symmetric group Sn acting on the k-subsets of {1,…, n}. Then, we establish for which Kneser graphs Kn:k the determining number is equal to n-k, answering a question posed by Boutin. Finally, we find all Kneser graphs with fixed determining number 5, extending the study developed by Boutin for determining number 2, 3 or 4. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | . Discrete Mathematics & Theoretical Computer Science 15(1): 1-14 (2013) | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | The determining number of Kneser graphs | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/38829 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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The deterrmining number.pdf | 394.3Kb | [PDF] | Ver/ | |