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The normalized Laplacian spectrum of subdivisions of a graph
dc.contributor.author | Xie, Pinchen |
dc.contributor.author | Zhang, Zhongzhi |
dc.contributor.author | Comellas Padró, Francesc de Paula |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2017-05-10T11:31:59Z |
dc.date.available | 2018-08-01T00:30:25Z |
dc.date.issued | 2016-08-05 |
dc.identifier.citation | Xie, P., Zhang, Z., Comellas, F. The normalized Laplacian spectrum of subdivisions of a graph. "Applied mathematics and computation", 5 Agost 2016, vol. 286, p. 250-256. |
dc.identifier.issn | 0096-3003 |
dc.identifier.uri | http://hdl.handle.net/2117/104267 |
dc.description.abstract | Determining and analyzing the spectra of graphs is an important and exciting research topic in mathematics science and theoretical computer science. The eigenvalues of the normalized Laplacian of a graph provide information on its structural properties and also on some relevant dynamical aspects, in particular those related to random walks. In this paper, we give the spectra of the normalized Laplacian of iterated subdivisions of simple connected graphs. As an example of application of these results we find the exact values of their multiplicative degree-Kirchhoff index, Kemeny's constant and number of spanning trees. |
dc.format.extent | 7 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 |
dc.subject.lcsh | Graph theory--Data processing |
dc.subject.other | Normalized Laplacian spectrum |
dc.subject.other | Subdivision graph |
dc.subject.other | Degree-Kirchhoff index |
dc.subject.other | Kemeny’s constant |
dc.subject.other | Spanning trees |
dc.title | The normalized Laplacian spectrum of subdivisions of a graph |
dc.type | Article |
dc.subject.lemac | Laplace, Transformacions de |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.identifier.doi | 10.1016/j.amc.2016.04.033 |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0096300316302831 |
dc.rights.access | Open Access |
local.identifier.drac | 17752605 |
dc.description.version | Postprint (published version) |
local.citation.author | Xie, P.; Zhang, Z.; Comellas, F. |
local.citation.publicationName | Applied mathematics and computation |
local.citation.volume | 286 |
local.citation.startingPage | 250 |
local.citation.endingPage | 256 |
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