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Characterizing (l,m)-walk-regularity
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 | 2009-06-03T14:16:40Z |
dc.date.available | 2009-06-03T14:16:40Z |
dc.date.issued | 2009-05 |
dc.identifier.citation | Dalfó Simó, C.; Fiol Mora, M.À.; Garriga Valle, E. Characterizing (l,m)-walk-regularity. "Linear algebra and its applications", Maig 2009, vol. 433, núm. 11-12, p. 1821-1826. |
dc.identifier.uri | http://hdl.handle.net/2117/3007 |
dc.description.abstract | A graph $\G$ with diameter $D$ and $d+1$ distinct eigenvalues is said to be {\it $(\ell,m)$-walk-regular}, for some integers $\ell\in[0,d]$ and $m\in[0,D]$, $\ell\ge m$, if the number of walks of length $i\in [0,\ell]$ between any pair of vertices at distance $j\in [0,m]$ depends only on the values of $i$ and $j$. In this paper we study some algebraic and combinatorial characterizations of $(\ell,m)$-walk-regularity based on the so-called predistance polynomials and the preintersection numbers. |
dc.format.extent | 8 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 | Combinatorics |
dc.subject.other | Distance-regular graph |
dc.subject.other | Walk-regular graph |
dc.subject.other | Adjacency matrix |
dc.subject.other | Spectrum |
dc.subject.other | Predistance polynomial |
dc.subject.other | Preintersection number |
dc.title | Characterizing (l,m)-walk-regularity |
dc.type | Article |
dc.subject.lemac | Grafs, Teoria de |
dc.subject.lemac | Combinacions (Matemàtica) |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
dc.subject.ams | Classificació AMS::05 Combinatorics::05E Algebraic combinatorics |
dc.rights.access | Open Access |
local.identifier.drac | 4448863 |
dc.relation.projectidctt | MTM2008-06620-C03-01 |
local.citation.publicationName | Linear algebra and its applications |
local.citation.volume | 433 |
local.citation.number | 11-12 |
local.citation.startingPage | 1821 |
local.citation.endingPage | 1826 |
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