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The geometry of t-spreads 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 | 2010-07-07T10:23:02Z |
dc.date.available | 2010-07-07T10:23:02Z |
dc.date.issued | 2010-08 |
dc.identifier.citation | Dalfó Simó, C.; Fiol Mora, M.À.; Garriga Valle, E. The geometry of t-spreads in k-walk-regular graphs. "Journal of graph theory", Agost 2010, vol. 64, núm. 4, p. 312-322. |
dc.identifier.issn | 0364-9024 |
dc.identifier.uri | http://hdl.handle.net/2117/8043 |
dc.description.abstract | A graph is walk-regular if the number of closed walks of length rooted at a given vertex is a constant through all the vertices for all . For a walk-regular graph G with d+1 different eigenvalues and spectrally maximum diameter D=d, we study the geometry of its d-spreads, 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 simplex (or tetrahedron in a three-dimensional case) 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-spreads or vertices at distance t from each other. |
dc.format.extent | 11 p. |
dc.language.iso | eng |
dc.publisher | Wiley InterScience |
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 | Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria |
dc.subject.lcsh | Graph theory |
dc.subject.lcsh | Geometry |
dc.subject.other | Walk-regular graphs |
dc.subject.other | eigenvalue multiplicities |
dc.subject.other | local spectrum |
dc.title | The geometry of t-spreads in k-walk-regular graphs |
dc.type | Article |
dc.subject.lemac | Grafs, Teoria de |
dc.subject.lemac | Geometria |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.identifier.doi | 10.1002/jgt.20458 |
dc.rights.access | Open Access |
local.identifier.drac | 2580367 |
dc.description.version | Preprint |
local.citation.publicationName | Journal of graph theory |
local.citation.volume | 64 |
local.citation.number | 4 |
local.citation.startingPage | 312 |
local.citation.endingPage | 322 |
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