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h-graphs : a new representation for tree decompositions of graphs
dc.contributor.author | Hidalgo Garcia, Marta |
dc.contributor.author | Joan Arinyo, Robert |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Ciències de la Computació |
dc.date.accessioned | 2015-11-02T17:46:34Z |
dc.date.available | 2017-10-03T00:30:27Z |
dc.date.issued | 2015-10-01 |
dc.identifier.citation | Hidalgo, M., Joan-Arinyo, R. h-graphs : a new representation for tree decompositions of graphs. "Computer Aided Design", 01 Octubre 2015, vol. 67, núm. Issue C, p. 38-47. |
dc.identifier.issn | 0010-4485 |
dc.identifier.uri | http://hdl.handle.net/2117/78683 |
dc.description.abstract | In geometric constraint solving, 2D well constrained geometric problems can be abstracted as Laman graphs. If the graph is tree decomposable, the constraint-based geometric problem can be solved by a Decomposition-Recombination planner based solver. In general decomposition and recombination steps can be completed only when steps on which they are dependent have already been completed. This fact naturally defines a hierarchy in the decomposition-recombination steps that traditional tree decomposition representations do not capture explicitly.; In this work we introduce h-graphs, a new representation for decompositions of tree decomposable Laman graphs, which captures dependence relations between different tree decomposition steps. We show how h-graphs help in efficiently computing parameter ranges for which solution instances to well constrained, tree decomposable geometric constraint problems with one degree of freedom can actually be constructed. (C) 2015 Elsevier Ltd. All rights reserved. |
dc.format.extent | 10 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Informàtica |
dc.subject.lcsh | Trees (Graph Theory) |
dc.subject.lcsh | Computational geometry |
dc.subject.lcsh | Constraint programming (Computer science) |
dc.subject.other | Parametric solid modeling |
dc.subject.other | Geometric constraint solving |
dc.subject.other | Constraint graphs |
dc.subject.other | Tree-decompositions |
dc.subject.other | Construction steps dependencies |
dc.subject.other | Parameter ranges |
dc.subject.other | GEOMETRIC CONSTRAINT SYSTEMS |
dc.subject.other | PARAMETER RANGES |
dc.subject.other | PLANS |
dc.subject.other | CAD |
dc.title | h-graphs : a new representation for tree decompositions of graphs |
dc.type | Article |
dc.subject.lemac | Arbres (Grafs, Teoria de) |
dc.subject.lemac | Geometria computacional |
dc.subject.lemac | Programació per restriccions (Informàtica) |
dc.contributor.group | Universitat Politècnica de Catalunya. GIE - Grup d'Informàtica a l'Enginyeria |
dc.identifier.doi | 10.1016/j.cad.2015.05.003 |
dc.identifier.dl | Else |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0010448515000688 |
dc.rights.access | Open Access |
local.identifier.drac | 16842487 |
dc.description.version | Postprint (published version) |
local.citation.author | Hidalgo, M.; Joan-Arinyo, R. |
local.citation.publicationName | Computer Aided Design |
local.citation.volume | 67 |
local.citation.number | Issue C |
local.citation.startingPage | 38 |
local.citation.endingPage | 47 |
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