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On outindependent subgraphs of strongly regular graphs
dc.contributor.author | Fiol Mora, Miquel Àngel |
dc.contributor.author | Garriga Valle, Ernest |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2019-01-16T08:14:37Z |
dc.date.available | 2019-01-16T08:14:37Z |
dc.date.issued | 2006 |
dc.identifier.citation | Fiol, M., Garriga, E. On outindependent subgraphs of strongly regular graphs. "Linear and multilinear algebra", 2006, vol. 54, núm. 2, p. 123-140. |
dc.identifier.issn | 0308-1087 |
dc.identifier.uri | http://hdl.handle.net/2117/126902 |
dc.description.abstract | An outindependent subgraph of a graph G, with respect to an independent vertex subset C¿¿V, is the subgraph GC induced by the vertices in V\¿C. We study the case when G is strongly regular, where the results of de Caen [1998, The spectra of complementary subgraphs in a strongly regular graph. European Journal of Combinatorics, 19 (5), 559–565.], allow us to derive the whole spectrum of GC . Moreover, when C attains the Hoffman–Lovász bound for the independence number, GC is a regular graph (in fact, distance-regular if G is a Moore graph). This article is mainly devoted to study the non-regular case. As a main result, we characterize the structure of GC when C is the neighborhood of either one vertex or one edge. |
dc.format.extent | 18 p. |
dc.language.iso | eng |
dc.publisher | Taylor & Francis |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs |
dc.subject.lcsh | Combinatorial analysis |
dc.subject.lcsh | Graph theory |
dc.subject.other | Strongly regular graph |
dc.subject.other | Independent set |
dc.subject.other | Spectrum |
dc.title | On outindependent subgraphs of strongly regular graphs |
dc.type | Article |
dc.subject.lemac | Combinacions (Matemàtica) |
dc.subject.lemac | Grafs, Teoria de |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::05 Combinatorics::05E Algebraic combinatorics |
dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
dc.relation.publisherversion | https://www.tandfonline.com/doi/abs/10.1080/03081080500143902?journalCode=glma20 |
dc.rights.access | Open Access |
local.identifier.drac | 23571198 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Fiol, M. |
local.citation.publicationName | Linear and multilinear algebra |
local.citation.volume | 54 |
local.citation.number | 2 |
local.citation.startingPage | 123 |
local.citation.endingPage | 140 |
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