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On t-cliques in k-walk-regular graphs
dc.contributor.author | Dalfó Simó, Cristina |
dc.contributor.author | Fiol Mora, Miquel Àngel |
dc.contributor.author | Garriga Valle, Ernest |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2010-07-07T09:51:47Z |
dc.date.available | 2010-07-07T09:51:47Z |
dc.date.created | 2009-08 |
dc.date.issued | 2009-08 |
dc.identifier.citation | Dalfo, C.; Fiol, M. A.; Garriga, E. On t-cliques in k-walk-regular graphs. "Electronic notes in discrete mathematics", Agost 2009, vol. 34, p. 579-584. |
dc.identifier.issn | 1571-0653 |
dc.identifier.uri | http://hdl.handle.net/2117/8041 |
dc.description.abstract | A graph is walk-regular if the number of cycles of length rooted at a given vertex is a constant through all the vertices. For a walk-regular graph G with d+1 different eigenvalues and spectrally maximum diameter D = d, we study the geometry of its d-cliques, that is, the sets of vertices which are mutually at distance d. When these vertices are projected onto an eigenspace of its adjacency matrix, we show that they form a regular tetrahedron and we compute its parameters. Moreover, the results are generalized to the case of k-walk-regular graphs, a family which includes both walk-regular and distance-regular graphs, and their t-cliques or vertices at distance t from each other. |
dc.format.extent | 6 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 | Graph theory |
dc.subject.lcsh | Spectrum analysis |
dc.subject.other | Distance-regular graphs |
dc.subject.other | k-Walk-regular graphs |
dc.subject.other | Spectrum |
dc.subject.other | Clique |
dc.title | On t-cliques in k-walk-regular graphs |
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.endm.2009.07.096 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 2580390 |
dc.description.version | Postprint (published version) |
local.citation.author | Dalfo, C.; Fiol, M. A.; Garriga, E. |
local.citation.publicationName | Electronic notes in discrete mathematics |
local.citation.volume | 34 |
local.citation.startingPage | 579 |
local.citation.endingPage | 584 |
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