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Distance-regular graphs where the distance-d graph has fewer distinct eigenvalues
dc.contributor.author | Fiol Mora, Miquel Àngel |
dc.contributor.author | Brouwer, Andries |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2015-07-10T09:38:58Z |
dc.date.available | 2017-05-16T00:30:19Z |
dc.date.created | 2015 |
dc.date.issued | 2015 |
dc.identifier.citation | Fiol, M.; Brouwer, A. Distance-regular graphs where the distance-d graph has fewer distinct eigenvalues. "Linear algebra and its applications", 2015, vol. 480, p. 115-126. |
dc.identifier.issn | 0024-3795 |
dc.identifier.uri | http://hdl.handle.net/2117/28555 |
dc.description.abstract | Let the Kneser graph K of a distance-regular graph $\Gamma$ be the graph on the same vertex set as $\Gamma$, where two vertices are adjacent when they have maximal distance in $\Gamma$. We study the situation where the Bose-Mesner algebra of $\Gamma$ is not generated by the adjacency matrix of K. In particular, we obtain strong results in the so-called `half antipodal' case. |
dc.format.extent | 12 p. |
dc.language.iso | eng |
dc.publisher | Elsevier |
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::Àlgebra::Àlgebra lineal i multilineal |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs |
dc.subject.lcsh | Graph theory |
dc.subject.other | Distance-regular graph |
dc.subject.other | Kneser graph |
dc.subject.other | Bose-Mesner algebra |
dc.subject.other | half-antipodality. |
dc.title | Distance-regular graphs where the distance-d graph has fewer distinct eigenvalues |
dc.type | Article |
dc.subject.lemac | Grafs, Teoria de |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.identifier.doi | 10.1016/j.laa.2015.04.020 |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 15731804 |
dc.description.version | Postprint (published version) |
local.citation.author | Fiol, M.; Brouwer, A. |
local.citation.publicationName | Linear algebra and its applications |
local.citation.volume | 480 |
local.citation.startingPage | 115 |
local.citation.endingPage | 126 |
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