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dc.contributor | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
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dc.contributor | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.contributor.author | Cámara Vallejo, Marc |
dc.contributor.author | Fàbrega Canudas, José |
dc.contributor.author | Fiol Mora, Miquel Àngel |
dc.contributor.author | Garriga Valle, Ernest |
dc.date | 2014-10-30 |
dc.identifier.citation | Cámara, M. [et al.]. On the local spectra of the subconstituents of a vertex set and completely pseudo-regular codes. "Discrete applied mathematics", 30 Octubre 2014, vol. 176, p. 12-18. |
dc.identifier.citation | 0166-218X |
dc.identifier.citation | 10.1016/j.dam.2013.09.018 |
dc.identifier.uri | http://hdl.handle.net/2117/24667 |
dc.description.abstract | In this paper we study the relation between the local spectrum of a vertex set C and the local spectra of its subconstituents. In particular, it is shown that, when C is a completely regular code, such spectra are uniquely determined by the local spectra of C. Moreover, we obtain a new characterization for completely pseudo-regular codes, and consequently for completely regular codes, in terms of the relation between the local spectrum of an extremal set of vertices and the local spectrum of its antipodal set. We also present a new proof of the version of the spectral excess theorem for extremal sets of vertices. (C) 2013 Elsevier B.V. All rights reserved. |
dc.description.abstract | Peer Reviewed |
dc.language.iso | eng |
dc.relation | http://www.sciencedirect.com/science/article/pii/S0166218X13004228 |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights | info:eu-repo/semantics/openAccess |
dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis |
dc.subject | Polynomials |
dc.subject | Pseudo-distance-regularity |
dc.subject | Local spectrum |
dc.subject | Subconstituents |
dc.subject | Predistance polynomials |
dc.subject | Completely regular code |
dc.subject | GRAPHS |
dc.subject | POLYNOMIALS |
dc.subject | Polinomis |
dc.subject | 11C Polinomis i matrius |
dc.title | On the local spectra of the subconstituents of a vertex set and completely pseudo-regular codes |
dc.type | info:eu-repo/semantics/publishedVersion |
dc.type | info:eu-repo/semantics/article |