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Edge-partitioning regular graphs for ring traffic grooming with a priori placement od the ADMs
dc.contributor.author | Muñoz López, Francisco Javier |
dc.contributor.author | Zhentao, Li |
dc.contributor.author | Sau Valls, Ignasi |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2012-01-02T11:23:41Z |
dc.date.available | 2012-01-02T11:23:41Z |
dc.date.created | 2011 |
dc.date.issued | 2011 |
dc.identifier.citation | Muñoz, X.; Zhentao, L.; Sau, I. Edge-partitioning regular graphs for ring traffic grooming with a priori placement od the ADMs. "SIAM journal on discrete mathematics", 2011, vol. 25, núm. 4, p. 1490-1505. |
dc.identifier.issn | 0895-4801 |
dc.identifier.uri | http://hdl.handle.net/2117/14389 |
dc.description.abstract | We study the following graph partitioning problem: Given two positive integers C and Δ, find the least integer M(C,Δ) such that the edges of any graph with maximum degree at most Δ can be partitioned into subgraphs with at most C edges and each vertex appears in at most M(C,Δ) subgraphs. This problem is naturally motivated by traffic grooming, which is a major issue in optical networks. Namely, we introduce a new pseudodynamic model of traffic grooming in unidirectional rings, in which the aim is to design a network able to support any request graph with a given bounded degree. We show that optimizing the equipment cost under this model is essentially equivalent to determining the parameter M(C, Δ). We establish the value of M(C, Δ) for almost all values of C and Δ, leaving open only the case where Δ ≥ 5 is odd, Δ (mod 2C) is between 3 and C − 1, C ≥ 4, and the request graph does not contain a perfect matching. For these open cases, we provide upper bounds that differ from the optimal value by at most one. |
dc.format.extent | 16 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::Investigació operativa::Programació matemàtica |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Anells i àlgebres |
dc.subject.lcsh | Operations research |
dc.subject.lcsh | Management science |
dc.subject.lcsh | Information theory |
dc.subject.lcsh | Coding theory |
dc.title | Edge-partitioning regular graphs for ring traffic grooming with a priori placement od the ADMs |
dc.type | Article |
dc.subject.lemac | Circuits, xarxes |
dc.subject.lemac | Investigació operativa i ciències de l'administració i la direcció |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | 90B Operations research and management science |
dc.subject.ams | 94C Circuits, networks |
dc.rights.access | Open Access |
local.identifier.drac | 8882926 |
dc.description.version | Postprint (published version) |
local.citation.author | Muñoz, X.; Zhentao, L.; Sau, I. |
local.citation.publicationName | SIAM journal on discrete mathematics |
local.citation.volume | 25 |
local.citation.number | 4 |
local.citation.startingPage | 1490 |
local.citation.endingPage | 1505 |
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